I was fortunate to have the opportunity to play a lot of games as a kid. I'm just having a hard time deciding when to cut off the "childhood" time period, LOL.
Some I can think of off the top of my head:
PC - Privateer 2, MechWarrior, Logical Journey of the Zoombinis, The Lost Mind of Dr. Brain
S/NES - Super Mario Bros & Duck Hunt, Super Mario World, Tiny Toons Adventures & TTA: Buster Busts Loose, Aladdin, The Lion King, Megaman X
Sega Genesis? - Ecco the Dolphin
GB/A - the first few Pokemon games
N64 - Zelda: Ocarina of Time, 007: Goldeneye, MarioKart64, Gauntlet Legends
Thinking back, that's a really strange combination of games.