I remember seeing a few episodes of David the Gnome, I'm certain...I remember some gnome dude, anyways. :P
Voltron...I absolutely loved Voltron when I was a kid. O_o I used to watch it even before it came on Cartoon Network, back when it was on the USA channel around here, about 1991 - '92...and I even had some recorded eps of it on tape, though I'm not sure if I still have them.
Rainbow Brite...is that even an anime? But I used to have some episodes on tape, and I saw the one movie...though the tape broke, and I don't have a copy of the movie...
The first anime that I watched that I realized was an anime, though, was Gatchaman (the G-Force dub version, anyways). Back in 1995 I was watching that show as much as I could on CN. @_@ "Obsessed" is almost too light of a word to use, shamefully enough. And for some reason, even though it's not the best of shows, it's still one of my favorites...
I watched Speed Racer around that time, too...though I wasn't as into it. :P