ReBoot and Beast Wars

Ds9? I don't watch shows anymore, though I like remembering it

House MD

The Andy Griffith Show, but I don't know about the adjective "weirdly." The show is supposed to be cozy and comfortable, and it succeeds better than any other show I know. Hilarious, too. Barney Fife is the funniest character in the history of TV. I even named my Lemmy handle after him.

Perhaps a better choice would be one of my favorite Star Trek series - Next Generation, Deep Space Nine, or Voyager. I record them on TIVO, so I have a huge bank to choose from. I often watch an episode as the last thing before going to bed.

The Adventures of Teddy Ruxpin

OG SatAM Sonic the Hedgehog, the dark one where his family and friends have been roboticized.

30 Rock Though now I've watched it so many times while sick/ can't sleep that it puts me right to sleep.

Supernatural

The Magicians

Resident Alien

The Expanse

100 feet of silk rope

Oddly enough, Emergency! (1972). There's something reassuring about it.

Dr. Katz, Professional Therapist is very relaxing and cozy. And it's all available on YouTube.

And, of course, The Waltons.

Gintama