As a side project, I’ve been playing a lot with Spotify’s API, and especially it’s audio features recently and thought it’d be interesting to take a look at the results for Depeche Mode songs. Just take all of this with a grain of salt ;). Keep on scrolling if you’re not into statistics.
*BEGIN TLDR*: I analysed the entire Depeche Mode discography using Spotify’s API and got some interesting results. Quick result overview:

All Tracks	Danceable	Energetic	Happy
Least	Junior Painkiller	Everything Counts (Reprise)	Easy Tiger
Most	Satellite	The Sun and the Rainfall	What's Your Name?

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Singles Only	Danceable	Energetic	Happy
Least	Somebody	Goodnight Lovers	Little 15
Most	Dream On	Barrel of a Gun	Dreaming Of Me

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• Most similar songs: "Zenstation" and "Always"
• Least similar songs: "Something To Do" and "Esque"

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Decade	Most Typical Song
All Time	Pipeline (Go read the detailed explanation before you come for me)
1980s	Shake The Disease
1990s	Home
2000s	Little Soul
2010s	Going Backwards

*END TLDR\*
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Now to the a detailed explanation of what I've done.
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Data

I used this Spotify Playlist as a basis for the analysis. I made sure only to include one version of each song. If there’s a single and an album version, I chose the album version. The only exceptions to this are “Enjoy the Silence” and “Personal Jesus”, for which I included both single and album version because of the huge differences between them. I also excluded remixes except “In Your Room (Zephyr Mix)”, “Freelove (Flood Mix)” (singles), and “Never Let Me Down Again (Split Mix)” (played live). Finally, I had to exclude “Corrupt” because of the three minutes of silence it has on Spotify which affected the analysis heavily.
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I'm only going to show you an excerpt of the results here. The full result is available on Results.
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Audio Features

Spotify’s track analysis provides a score on certain song characteristics. Websites like Tunebat use these as well. If you want to verify my data, please use a website like this (they multiply the scores by 100).
Feature values (except mode and tempo): Every track is assigned a value between 0.0 and 1.0.
mode value: 0 indicated minor key, 1 indicated major key.
I focused on the characteristics danceability, energy, instrumentalness, mode, tempo, valence, and speechiness.
I decided to exclude acousticness because the results were incredibly off (Such as giving “Waiting for the Night” a score of 0.88). I also excluded liveness because we know that none of the tracks in the playlist are live tracks.
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Danceability

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Least Danceable
These are the top 10 least danceable songs:

Least Danceable	Song	Danceability Score
1.	Junior Painkiller	0.113
2.	Introspectre	0.124
3.	Eternal	0.186
4.	Oberkorn (It's a Small Town)	0.208
5.	Sometimes	0.226
6.	Slow	0.244
7.	The Dead of Night	0.247
8.	To Have and to Hold	0.247
9.	One Caress	0.259
10.	Sibeling	0.269

As you can see, a lot of these make sense here. I was surprised to see “The Dead of Night” on here though. I should probably mention now that the Spotify data is far from perfect, and we’ll also see later that it gives straight up bad results for some tracks.
“Eternal” is the least danceable song with vocals. If we’re not counting “One Caress” as a single, the least danceable single is "Somebody” at 24. (Fun fact: The album version of “Enjoy the Silence” comes right before this on 23.)
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Most Danceable
These are the top 10 most danceable songs:

Most Danceable	Song	Danceability Score
1.	Satellite	0.63
2.	Boys Say Go!	0.845
3.	Monument	0.836
4.	Puppets	0.834
5.	Any Second Now (Voices)	0.828
6.	Fools	0.822
7.	Dream On	0.813
8.	Nodisco	0.806
9.	Leave In Silence	0.782
10.	The Sun and the Rainfall	0.781

The most danceable single is “Dream On”. Other songs that might be interesting are “Just Can’t Get Enough” at 17 and our favourite disco song, “Enjoy The Silence (single version)” at 58.
It’s very interesting to see almost only songs from the first two albums on here. If we exclude “Speak & Spell” and “A Broken Frame”, the top ten would look like this:
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Excluding S&S and ABF	Song	Danceability
1,	Fools	0.822
2.	Dream On	0.813
3.	Lovetheme	0.773
4.	Welcome To My World	0.771
5.	Breathing In Fumes	0.768
6.	Flexible	0.767
7.	Get the Balance Right!	0.764
8.	Shame	0.761
9.	Happiest Girl - Jack Mix	0.755
10.	Work Hard	0.748

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Energy

Least Energetic
These are the top 10 least energetic songs:

Least Energetic	Song	Energy Score
1.	Everything Counts (Reprise)	0.0556
2.	Oberkorn (It's a Small Town)	0.131
3.	Junior Painkiller	0.137
4.	Jazz Thieves	0.145
5.	Sonata No.14 in C#m (Moonlight Sonata)	0.171
6.	Sometimes	0.176
7.	Lovetheme	0.191
8.	The Great Outdoors!	0.197
9.	The Child Inside	0.221
10.	Shouldn't Have Done That	0.224

I don’t think there are any big surprises on here. The least energetic song with vocals is “Sometimes”. The least energetic single is “Goodnight Lovers” on 17.
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Most Energetic
These are the top 10 most energetic songs:

Most Energetic	Song	Energy Score
1.	The Sun and the Rainfall	0.993
2.	Kaleid - 7'' Version	0.981
3.	Breathing In Fumes	0.966
4.	Shout!	0.959
5.	John The Revelator	0.57
6.	Soft Touch / Raw Nerve	0.951
7.	More Than A Party	0.948
8.	Barrel of a Gun	0.948
9.	A Photograph of You	0.947
10.	Better Days	0.939

I’m very surprised to see “The Sun and The Rainfall” first here because I’d say “Kaleid” is a lot more energetic. My assumption is that it got such a high score because of the drum machine but that is just speculation. All of the other songs on this list make sense to me. As you can see, the most energetic single is “Barrel of a Gun”.
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Valence

“Valence: Describes the musical positiveness conveyed by a track. Tracks with high valence sound more positive (e.g. happy, cheerful, euphoric), while tracks with low valence sound more negative (e.g. sad, depressed, angry).” – Someone on the Internet.
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Least valent
These are the top ten least valent songs:

Least Valent	Song	Valence Score
1.	Easy Tiger	0.0327
2.	Slowblow	0.0378
3.	Pimpf	0.0384
4.	Fail	0.0389
5.	Jezebel	0,0391
6.	Nothing's Impossible	0.0429
7.	Introspectre	0.043
8.	Oh Well	0.0497
9.	Memphisto	0.0518
10.	When The Body Speaks	0.0535

Given that “Fail” is the only explicit song in the catalogue, it’s very apt that it turns out to be the least valent song with lyrics. While all the other songs make sense to me, it’s really surprising for me to see “When the Body Speaks” on here because to me it seems like a rather positive song.
If we go looking for the single with the least valence, we find the album version of “In Your Room” on 23 but that doesn’t count, of course. So, the single with the least valence is “Little 15” on 25, followed by “Cover Me” on 27.
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Most valence
These are the top ten songs with the most valence:

Most valent	Song	Valence Score
1.	What's Your Name?	0.99
2.	(Set Me Free) Remotivate Me	0.983
3.	Told You So	0.969
4.	Something To Do	0.966
5.	Pleasure, Little Treasure	0.963
6.	Big Muff	0.961
7.	Dreaming Of Me	0.961
8.	A Photograph of You	0.96
9.	World In My Eyes	0.959
10.	The Meaning of Love	0.953

I love to see “What’s your name?” being the most valent song out of the ENTIRE catalogue. While you might say that some of these songs don’t make sense on this list, you can find a common pattern in all of these songs: High-pitched, fast synth riffs without vocals.
The most valent single is “Dreaming of Me”. The single with the most valence not written by Vince is “The Meaning of Love”. Funnily enough, the next singles with the most valence are “See You” at 13 and “It’s Called a Heart” at 17, which Martin also both hates ;). The single with the most valence while still being liked by Martin is “Precious” at 23, which again has a high-pitched synth riff without vocals.
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(Depeche) Mode

Interestingly, if we average all the song’s modes, we get a value of 0.541 which means that the songs are slightly more likely to be in major key than a minor key.
If we now exclude “Speak & Spell”, this value comes down to 0.528.
If we then also exclude “A Broken Frame”, we’re left with 0.519.
All in all, it seems like Martin uses more major keys than he likes to admit ;)
Just know, that I’m not very trained when it comes to music theory and I know Martin uses a lot of borrowed chords, which will probably also affect this score.
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Tempo

Slowest Songs
These are the top five slowest songs:

Slowest Songs	Song	Tempo (BPM)
1.	Condemnation	58
2.	Stjarna	74
3.	Easy Tiger	74
4.	I Want It All	75
5.	Sonata No.14 in C#m (Moonlight Sonata)	76

No surprises here. The slowest song and single is “Condemnation”. "Slowblow" ranks at 9 with 79 BPM. But where does “Slow” rank…?
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Fastest Songs
These are the top five fastest songs:

Fastest Songs	Song	Tempo (BPM)
1.	One Caress	201
2.	Cover Me	196
3.	Blue Dress	187
4.	Dressed In Black	187
5.	Slow	187

Pretty ironic to see “Slow” on here, isn’t it? I’d say that the algorithm struggles with double-time which is why I won't use this feature for any of the following analyses. Looking for the fastest song with the BPM matching the information on DMLiveWiki, we got “Black Day” at 11 at 177 BPM. The fastest single matching the information on DMLiveWiki is “Barrell of a Gun” at 18 at 166 BPM.
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Instrumentalness

If we rank all the songs by instrumentalness, the lowest instrumental on the list is “Headstar” at 125 out of 208. The highest non-instrumental on the list is “When the Body Speaks” at 12 out of 208.
Interestingly, there are five songs that got a score of 0.0: “Dressed in Black”, “Condemnation”, “Everything Counts”, “Wrong”, and “I Want You Now”.
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Speechiness

“This is an estimate of the amount of spoken word in a particular track. High values indicate that there’s a good deal of speech in the track, and low values indicate that there is very little speech.” – Again someone on the Internet.
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Lowest Speechiness
These are the top five song with the lowest speechiness score:

Lowest Speechiness	Song	Speechiness Score
1.	Going Backwards	0.0229
2.	Useless	0.0231
3.	The Sweetest Condition	0.024
4.	When The Body Speaks	0.0248
5.	Love, In Itself	0.025

“Going Backwards” is the song and single with the lowest speechiness score.
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Highest Speechiness
These are the top 5 songs with the highest speechiness score:

Highest Speechiness	Song	Speechiness Score
1.	Shouldn't Have Done That	0.183
2.	The Dead of Night	0.167
3.	Lovetheme	0.149
4.	Any Second Now (Voices)	0.119
5.	Hole to Feed	0.118

“Shouldn’t Have Done That” topping this list makes a lot of sense to me. However, a score of 0.183 is still quite low. “I Feel You” is the single with the highest speechiness score at 8. But why is there an instrumental on here...?
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Track Pairings

For the following analyses I used a vector comprising the values for danceability, energy, and valence for each track. Since the playlist contains 209 songs, we’ve got (209^2 – 209) / 2 = 21736 pairings to check. I compared the two vectors for each pairing using different vector similarity measures (Reference) to get a similarity score.
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Most similar pairings
These are the top 20 most similar pairings (using TS-SS):

Most Similar Pairings	Song A	Song B
1.	Zenstation	Always
2.	In Your Memory	It's Called A Heart
3.	Pimpf	Nothing's Impossible
4.	Goodbye	The Worst Crime
5.	Mercy In You	So Much Love
6.	I Am You	Always
7.	Stjarna	Death's Door
8.	Rush	Going Backwards
9.	Christmas Island	So Much Love
10	Freestate	Scum
11.	Damaged People	Fail
12.	Stories of Old	The Love Thieves
13.	In Your Room	Damaged People
14.	Freestate	Shine
15.	It's No Good	The Sweetest Condition
16.	I Am You	Zenstation
17.	Blue Dress	Get Right With Me
18.	Pimpf	Spacewalker
19.	Shine	Scum
20.	Just Can't Get Enough	Work Hard

I think it’s best if you listen and judge for yourself how accurate this is (remember that features like tempo, key etc. were not used for this). All I can say is that listening to “In Your Memory” and “It’s Called a Heart” back-to-back has been eye-opening for me.
If we’re looking for the most similar pairing only including singles, we end up with “Fragile Tension” – “Peace” at 28, “People Are People” – “Martyr” at 29, “Enjoy the Silence” – “Lillian” at 48, and “A Question of Lust” – “Home” at 49.
Another interesting pairing is "Peace" - "Scum" at 91 ;).
I should also mention that, while “Zenstation” – “Always” is first on this list, all other similarity measures have “In Your Memory” and “It’s Called a Heart” ranked first.
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Least similar pairings
This list is less interesting, so here’s only the top 5 (using TS-SS):

Least Similar Pairings	Song A	Song B
1.	Something To Do	Esque
2.	Satellite	Introspectre
3.	Pleasure, Little Treasure	Esque
4.	Something To Do	Slowblow
5.	Something To Do	Death's Door

Looking for the least similar single pairing, we find “Little 15” – “World in My Eyes” at 175.
The other two measures I used have “Everything Counts (Reprise)” – “Introspectre” and “A Photograph of You” – “Oberkorn (It's a Small Town)” ranked least similar respectively.
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Most Typical Depeche Mode Track

Next, I’ve calculated an average vector over danceability, energy, and valence. This vector contains the scores the average Depeche Mode track has. Then I looked for the track that is most similar to this average track to find the most typical Depeche Mode tracks.
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Average Track over the entire discography visualised (sort of)
Average Track Comparison 1980s - 2010s
Average Track Comparison 1990s - 2010s
Average Track Comparison 1990s - 2000s
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Most typical track over the entire discography
The average Depeche Mode song has these scores (rounded):

• Danceability: 0.575
• Energy: 0.653
• Valence: 0.452

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The top 10 most similar tracks to this:

Most Typical Depeche Mode Tracks	Song
1.	Pipeline
2.	A Question of Lust
3.	The Things You Said
4.	Walking in My Shoes
5.	Love, In Itself
6.	Home
7.	Shine
8.	Only When I Lose Myself
9.	I Want It All
10.	Scum

This means, “Pipeline” is the most typical Depeche Mode track according to this. People, get your pitchforks out! The most typical single is “A Question of Lust”.
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The top 10 least similar tracks to this:

Least Typical Depeche Mode Tracks	Song
1.	Satellite
2.	Fools
3.	Something To Do
4.	Everything Counts (Reprise)
5.	Introspectre
6.	Pleasure, Little Treasure
7.	What's Your Name?
8.	Jazz Thieves
9.	(Set Me Free) Remotivate Me
10.	A Photograph of You

This means, “Satellite” is the least typical Depeche Mode track. The least typical single is “The Meaning of Love” at 11.
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1980s
Average track:

• Danceability: 0.627
• Energy: 0.670
• Valence: 0.614

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The most typical 80s track and single is “Shake the Disease”.
The least typical 80s track is “Stjarna”. The least typical 80s single is “Little 15”.
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1990s
Average track:

• Danceability: 0.531
• Energy: 0.644
• Valence: 0.387

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The most typical 90s track and single is “Home”.
The least typical 90s track and single is “World in My Eyes”.
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2000s
Average track:

• Danceability: 0.558
• Energy: 0.663
• Valence: 0.338

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The most typical 2000s track is “Little Soul”. The most typical 2000s single is “Peace”.
The least typical 2000s track and single is “Precious”.
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2010s
Average track:

• Danceability: 0.523
• Energy: 0.603
• Valence: 0.285

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The most typical 2010s track and single is “Going Backwards”.
The least typical 2000s track is “Soft Touch / Raw Nerve”. The least typical 2010s single is “Cover Me”.
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Conclusion

The algorithm calculating the audio features is far from perfect and nothing from here should be taken as fact. This is just a bit of fun with numbers :). Based on this data, you can do lots of other fun stuff like comparing your Spotify listening profile to this and finding out which Depeche Mode track matches your listening habits the best. If you’ve got any other ideas or improvements, please let me know!