I mean really strange, super quirky.
I love banks 7 and 8 of the D-50 which are filled with mostly SFX and strange evolving preset classics like “Marshy Zone” and “Dense Forest”. I’m a big fan of zaps, whooshes and SFX of all types and I love to pepper them into tracks to create a sense of space.
Are there any synthesizers vintage/modern that you guys might be aware that focus heavily on these types of presets? Not opposed to softsynths or analog synths either.
No presets, but I would say that the Eowave Quadrantid Swarm is capable of a broad range of rather weird sounds…
Kawai K1 gets into strange territory very quickly once you get past the presets, programming is nearly fun once you get used to it 
Someone will eventually mention the Monomachine and it may as well be me. The weirdness isn’t so much in presets, though, as routing and patterns (locks, etc.)
Also: Microfreak.
JD-800 is full of nice sounds
Roland D-50 is a virtual analog filter (with PCM transients) and chorus, delay and reverb. So I’d say any synth with chorus, delay and reverb …
I’d say the Digitone can be far superior to that, since it also has those effects plus master overdrive and then you get all the FM synthesis, the unique Mix paramter and subtractive filters …
Another idea, Typhon is an analog synth with three effect slots that can have things on the crazier side like folder, pitch shift …
Randomizing patches in the PreenFM2 or PreenFM3 yields some crazy results, especially since you can pan at the operator level.
Other FM synths like the aforementioned DN (check out the sound packs!) or the OpSix (hardware or plugin) can get weird really fast. Also any version of the Access Virus will keep you busy making out-there patches for a looong time.
Wavestate has a bunch of presets that remind me of old romplers. And the JV era of Roland stuff is pretty good for this, so older hardware or newer stuff that inherits those sounds like the MC-101 is a solid bet.
On the software side, look at the Roland XV VST, Korg Triton and Wavestate VSTs. The K1 mentioned is also available as a free VST. E-Mu rackmounts have some things like this and are available as soundfont and for Komplete.
For rolling your own, think about layering with hardware or software you have, combining samples with synthesis (analog or digital) and using lots of effects like phaser, flanger, chorus, delay and fancy digital reverbs.
Waldorf Microwave XT, Waldorf M, Waldorf Q or possibly Blofeld and Pulse all get nice and weird.
I’ve been enjoying some nice weird patch programming on the 3rd Wave too.
Anything with a mod matrix should get you some weird results.
FM synths will get you WEIRD.
Otherwise, I’d probably go modular. The king of weirdness, depending on your module choices.
Nowadays, I mainly use Synplant 2 for weird usable sounds.
Hardware wise, Gotharmans Little Deformer 3 is the king of weird for me.
Do I get to be the first one to suggest the Hydrasynth? Cause the Hydra gets wonderfully weird.
Big fan of this Sarah Belle Reid video:
Ooo nice recommendations! Synplant is great! And then yes, I forgot that among the weirdest in the land are the Gotharmans instruments. 
Also top notch suggestion.
Wavestate
Opsix
Hydrasynth
On the Twisted Electron BlastBeats, you can “wiggle” any parameter of the 4 operator FM synths (4 part multitimbral + drums), that is, randomize their values, e.g. continuously change the waveshape of each operator, its feedback, volume, multiplier, etc.
Interestingly, you can now lock the random value reached at each step, and define the range of randomization (per pattern, not per parameter). It yields really crazy and musical stuff…
These are all amazing suggestions and I will be watching YouTube preset no talking videos for weeks after this post. Common themes seem to be wavetable/FM/digital from the late 80’s early 90’s
So far we have
Hardware:
Eowave Quadrantid Swarm
Kawai K1 (classic, totally agree with the weirdness here)
Monomachine
Microfreak
JD-800 (another classic weird)
Roland D-50 (one of my favorites)
PreenFM2 or PreenFM3
OpSix
Access Virus (been wanting one of the early 90’s models for ages, this is right up my alley)
Korg wavestate
JV era of Roland stuff
E-Mu rackmounts (what’s weirder than planet phat???)
Waldorf Microwave XT, Waldorf M, Waldorf Q or possibly Blofeld and Pulse
3rd Wave (this looks amazing, ppg lineage for sure)
Hydrasynth
Gotharmans Little Deformer 3
Softsynths:
Roland XV VST, Korg Triton and Wavestate VSTs. The K1 mentioned is also available as a free VST
Synplant 2
Keep them coming! It seems like every vintage synth had a UFO liftoff or a racecar driving by preset, but I am realizing there are quite a few that have embraced the weird and gone headfirst into it.
On the Hydrasynth too.
Casio CZ series is nuts
Granular can get weird. The texture lab is nice
This thing sounds wild:
