The Disney Afternoon, starting around the time TaleSpin premiered, although we were already watching Chip and Dale, DuckTales, and The New Adventures of Winnie the Pooh. Stopped really watching it after Bonkers was finished. Rack up most Disney movies from before they made Tarzan too.
The Wuzzles. Mostly from VHS tapes my grandparents made whenever the cable company would have a free weekend of the Disney Channel.
3-2-1 Contact, Bill Nye, Where in the World is Carmen Sandiego? (the game show one on PBS), Beakman's World, Power Rangers (from the very first episode of MMPR, too; I was in 2nd grade), Masked Rider, Superhuman Samurai Syber-Squad (now that one's a bit embarrassing to admit), the new Land Of The Lost...and even Saved By The Bell, since it aired on Saturday mornings after the big cartoon blocks. Legends of the Hidden Temple too. Several other normal sitcoms would be included too, mainly from watching with family. Fresh Prince, Wings, Cheers, The Nanny, Mad About You, Seinfeld, Boy Meets World, Family Matters, Perfect Strangers, Full House, etc.
Star Trek TNG, during its original run. I was watching both Star Trek and Star Wars when I was 5 or 6. In pretty deep back then too, but it really faded after I got older. Never cared nearly as much about DS9 or Voyager. One particular thing I recall is the 5-episode marathon leading up to the series' finale, and the absolute ton of Blue Man Group ads for the original Pentium processor (and "Beef. It's What's For Dinner." ads).
TMNT, Tiny Toons, Transformers Generation 2 (didn't catch the originals until later), ReBoot, SWAT Kats, Mega Man, Spider Man The Animated Series, Garfield and Friends, The Bugs Bunny & Tweety Show, Marvel Power Hour (i.e., Iron Man & Fantastic Four), Tazmania, Super Mario Bros. Super Show, some really vague memories of The BOTS Master (so vague, in fact, that I know I never really watched it, I was simply *aware* of it) and Captain N The Game Master, Hammerman, Beetlejuice and Ghostbusters, both of the Sonic incarnations ('Adventures of' and SatAM), The Tick, Inspector Gadget, The Smurfs, The Snorks, Scooby Doo, A Pup Named Scooby Doo, Flintstones, Jetsons, Flintstone Kids, Godzilla (the 70s one... "up from the depths, 30 stories high..."), Muppet Babies, The Chipmunks, Captain Planet, Exosquad, the USA Network series of Street Fighter, Mortal Kombat, and Wing Commander...
Cartoon All-Stars To The Rescue, which I do distinctly remember airing on the local stations at like 6AM even though Wikipedia claims the special was only broadcast once. It really has to be seen to be believed. The anti-drug message was hardly the reason most kids wanted to watch it, and the premise kind of makes you think the producers were on drugs at the time.
With anime I didn't really become aware of it until I was older. Remember seeing G-Force and the stuff on Sci-Fi's Saturday Anime block (secretly with the Sci-Fi aired stuff, though; but Gall Force, 8 Man After, and Dominion Tank Police stick out in particular) Watched Sailor Moon when I was 10, same with Samurai Pizza Cats and some of the really early episodes of Dragon Ball Z. Followed it up with Voltron when Toonami started the following Spring (and Thundercats, but that's not anime). Same deal with Robotech, Gundam Wing, and my awareness of Tenchi Muyo!. I was in middle school by this point, though.
Games-wise, it's always been Mario, Sonic, Mega Man (Classic and X, Zero and ZX by extension years later), Metroid, R-Type. And I haven't strayed from any of them, either. Didn't care for 3D games when the N64 came out, and I still only like a few games of that sort, like Crash Bandicoot.