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?
Once Upon a Time... Life comes to mind. I also recall Tante Soesa & Sassefras which was a Dutch program that would be broadcast in between other kids programs.