What We Do In The Shadows. Which is mostly about silly vampires leading sort of normal lives but they do intersect with normal people sometimes. The serieses get great, the movie is great. It's not what you are asking for really, but it's worth a recommend anyway.
 

I did see the movie. I shall give the series a try. Thank you.

It's an awesome movie and series. Another one with a similar premise I quite liked, though not nearly as weird, or good, is Being Human.

Vampires and werewolves!

Yes, I watched Being Human and enjoyed it. The production throughout was a bit clunky and it often had that am-dram feeling that seems to be compulsory for some BBC shows, which I imagine is lack of cash and doing everything in one take. It also suffered with cast changes as in "and then they all died". Still liked it. 

 

...but not comedy. What we do in the shadows is proving fun.

if you enjoy the 'energy vampire' one, check out "Kenny Strasser" doing yo-yo things on various US local news programmes from his earlier career, there's a few bits on youtube and it's good stuff.

As far as WWDITS I feel a bit shallow about it but I mainly just want to watch Matt Berry wander about shouting. Luckily there's lots else that is good as well.

Dirk Gently's Holistic Detective Agency sounds right on the money.

Not quite supernatural but definitely weird (and brilliant): Deadloch

I love Bewitched and rewatch it quite regularly. So, yeah, I love the more extreme end of your spectrum. Stuff like:

Resident Alien (a bit muddled but enjoyable)
Santa Clara Diet (enjoyed this one a great deal)
Russian Doll (great)
Made for Love (tech based rather than supernatural but same vibe)

And... not sure if these are on your spectrum since there's nothing explicitly supernatural, but they *might* satisfy the same whatever...

Poker Face
Basically Columbo. Woman who can detect lies keeps stumbling into murders. Got some wit to it, very enjoyable.

Kevin Can F**k Himself
I've only seen the first season so far but I really like this one. It's about a woman who's married to the kind of obnoxious asshole you'd find in an 80s sitcom. When he's on-screen it *is* an 80s sticom, it goes to a multi-camera, live audience, brightly lit 80s sitcom format. And when he's not on-screen it's the depressing nightmare of the reality of her life.

Severance
This is more technology mystery-box. But it's compelling and consistently unsettling.

Review
These are getting more tenuously related to what you asked for. Starts off as a fairly dumb comedy but gets more unsettling as it goes on.










 

ooh. I like the sound of Kevin Can F**k Himself. Not too worried about the recommendations not matching what I asked for since I was really saying 'Please provide me with something that will do what programme x did for me'  which is a bit ambitious/disingenuous.

I shall  sample some of these suggestions. Thank you.

Hello!  (hug)

Kevin Can F**k Himself was great. Was, because it got cancelled. But anyway, Annie Murphy who played Allison in KCFH s also amazing in Schitt's Creek. Watch it if you haven't.

Schitt's creek was wonderful. Watched the lot. 

Hello! :D (hug)

Yeah, part of why I've not watched season 2 yet is knowing that's all there is.

I didn't actually get on with Schitt's Creek. I tried several times. On paper it's perfect for me and I *want* to enjoy it but, for whatever reason, just don't.

Might be time to give it another go though.

 I would recommend Santa Clara Diet though. I think this one went a bit under peopes' radars. It's a really great black comedy that's also somehow upbeat and endearing.

(It might be that the upbeatness put dark comedy people off and vice versa...)

It is good, but can't hold a candle to Levy's SCTV work. That was subversive.