Television

Galavant

Mighty boosh

Red dwarf

Misfits

I guess in this case obscure differs a lot geographically, but I definitely know places where they are almost completely unknown.

Raised by Wolves. It was killed by HBO around the time of the discovery merger thing, but was a fully written (creator originally wrote it as a book, and then made it into a screenplay) and unique show. Produced by and has some directing from Ridley Scott.

The show follows two androids, Mother and Father, raising a human child alone on a desolate planet after fleeing a dying earth controlled by hi-tech zealots. This new home might be far more related to them than they realize, and maybe not always so desolate. It blends mysticism and sci-fi in a really fun way, and I will never not be angry I don't get to see how it ends.

Coming to this late, but both Chris Elliott comedy vehicles that tickle me to this day:

Get A Life

Eagleheart

Swarm. It's a great show but unpopular for a reason since it's pretty niche and I imagine would make most people too uncomfortable. That's my endorsement.

Reaper was a really brilliant, easy-watching action/comedy show akin to Chuck. It's centered around a young man whose family has sold his soul to the devil, and now he must fulfill the contract by hunting down souls that have escaped from hell.

It features the typical "monster of the week" premise, along with a longer story arc across the seasons and has a rather fun mythology and world building. Ray Wise puts in a phenomenal performance as the devil, and I remember the show having a pretty genuine and surprisingly wholesome sense of humour.

Sadly its momentum got interrupted by the writers strike, and its second season was shortened and then cancelled. I still highly recommend it.

If you like Severence, you really need to see Dollhouse. Only 2 seasons, complete story. Slow start, but it doesn't go where you expect, it's a complete story, and Dichen Lachman (Gemma Scout) plays basically the same role.

Wonderfalls

Mr Inbetween is an excellent Aussie show. Haven't found anything else that captures our culture so well.

Not sure where the bar sits for obscure / under the radar. There's plenty of more popular shows I normally recommend.

Keeping it less known I guess:

Sense8 - slow start but cool concept

The goes wrong show - brilliant little piece of British theatre humour. Some great recurring gags

And second another commenter's recommendation of you're the worst as a good laugh.

I’m not sure if it is obscure, but I had never heard of it. Husband and I have been watching SyFy’s Channel Zero and love it.

Tokyo Vice

The Knick

Two unique shows cancelled after two seasons. Both have qualities I've not seen in other shows. The Knick has a unique atmosphere that makes it really appealing along with a brilliant soundtrack that you would never expect from a period drama. Tokyo Vice's story telling is uniquely a mix of English and Japanese and blends the two so naturally. The acting in both shows is superb and I wish we had more.

You're The Worst

-- A dark comedy / romantic comedy that centers on two toxic, self-destructive people who fall in love and attempt a relationship. --

Absolutely amazing TV show by Stephen Falk. Criminally underrated. It is my favorite show of all time. It should be available to stream on Hulu, otherwise pirating it may be the only way to watch it.

https://m.imdb.com/title/tt3228420/

Kipo and the Age of Wonderbeasts

-- A bright, wonderful and adorable show (animated by Dreamworks) that follows 13-year-old Kipo navigating a post-apocalyptic world full of evolved animals with human-level intelligence, and making friends along the way. --

This is a family-friendly show that took me about 7 episodes to get hooked. I am so glad I stuck with it! Made by Radford Sechrist and Bill Wolkoff. It's on Netflix. It also had a small DVD release that may be difficult to find.

https://m.imdb.com/title/tt10482560/

Monkey Dust. BBC show from the late 00''s that went ~3 seasons. Animated sketch comedy that was ostensibly British but wasn't SO British that Americans wouldn't get it. Example sketch-

https://youtu.be/RAgsubC0zaE

Manchild (2002)

I didn’t see these:
Halt and Catch Fire (AMC)
For all Man Kind (Apple TV)

The 7 Lives of Léa

Interesting French Netflix mini-series. Way better than it has any right to be considering its scale and I don't think it's gotten the attention it deserves.

I recommend watching in French with subtitles.

Border Line - British mockumentary that follows airport security forces. Even though The Office was British originally, this feels like they took they the US' Office and put their spin on that. There's definitely a Michael, a Dwight, a Pam and Jim etc. It's pretty fucking funny, but unfortunately they only made 2 seasons before it got canceled.

Sliders

I don't see Dame Judy Dench's masterpiece "As Time Goes By" mentioned often.

It's about a love affair between the acclaimed author of "My Time in Kenya", and his publisher.

(This summary is intentionally reductive to the point of absurdity. But trust me, it's quite good.)