I just have to say... Chip and Dale Rescue Rangers. And that unicycle racing game. And there was this awesome NES game my neighbours had, Gun Smoke. OMG Gun Smoke. http://en.wikipedia.org/wiki/Gun.Smoke
Desert Storm (the helicopter game)...
On PC I used to play Warlords 1 and 2. I think it was Warlords 2 where you could do a custom game and chose hilarious units, like pig cops. Eventually I loved Heroes of Might and Magic 2, which is easily one of the best turn based strategy/RPG games ever made. Everyone knows XWing and Tie Fighter, but how about Mantis? Came on about 8 floppy disks lol.
Oh and we had an Apple IIe, Bouncy Ball was pretty fun. Swash Bucklers was tough. The submarine game only worked some of the time but it was cool dodging torpedos and blowing up ships.
Honestly though I don't remember the vast majority of NES and SNES games I played. I only owned a handful, but back then we got 2 for 1 rental coupons all the time so pretty much every Friday from about November to May I would rent a game and my parents would get a movie, then I'd play the game all weekend. The summer months we'd go to the lake.
Edit: Memory clicked, I think there was an amazing disney game on SNES. Like a Mickey Mouse RPG. I just remember a swampy area with lots of docks, and a haunted house or something like that. Also, was Tale Spin a game? I think it was (as well as a cartoon).
OH SHIT I can't forget this one: SUPER STAR WARS! That game was unreal. So damn awesome and hard. I think I only made it to the Death Star once or twice, never beat it. I remember 2nd level when you drive the landspeeder on Tatooine, playing that with my cousin - you'd kill Jawas and they'd say that funny "oohteenee!" and we'd make up funny things it could sound like, like "egg pee!" "not funny!" etc. We also played a lot of Rock N Roll Racing but I think plenty of people know that one.