I remember having quite a few VHS tapes from a company called "Just For Kids", that had some of the neatest shows.
"Sherlock Hound", "Kissyfur", "Foofur", "Seabert", and quite a bit more. My siblings and I loved animals, so this got us interested right away!
I also grew up in a religious household, so Christian videos were standard for us.
Did you know that there was a bible-story-centric anime called "Superbook"? Used to watch it all the time! There was also "McGee and Me", "Secret Adventure", and "Adventures in Odyssey". Used to listen to the "Adventures in Odyssey" radio show all the time!
"The Donut Man" was a Barney-esque Christian show for kids, too.
What obscure things did you watch growing up?
Oh boy, I had a few like this that come to mind.
Bucky O'Hare was a favorite of mine. There was also this weird British superhero teddy bear called Super Ted.
Someone else in this thread mentioned Bump in the Night, which was def a big one for me, too.
I also had a VHS of Cubix: Robots for Everyone that I was obsessed with. It was a Korean CGI animated show that sadly never got all that big in the US, but there were a couple of lame video games and a few toys that made it here.
I could make a whole huge list, so I'll stop here, but it would be a disservice of me not to mention Extreme Dinosaurs which was (and still is) objectively the coolest show ever made.