Well I had an Atari 2600 so Pong, Asteroids, Ka-Boom (loved that game). I do remember the first Commodore Amiga game - The Faery Tale Adventure. Started playing it again on DosBox! And Dune, Dungeon Master... so many good old school games!
Man! This was a hard question... I really had to sit and think for a while, I've been a gamer for many moons now...
After thinking long and hard, I remembered our first computer, the good 'ol Texas Instruments TI-99...14K I think that baby had? Anyway, I remember playing a game called Munchman all the time - funny little game, a Pac-Man clone for sure, but fun. That, and the Ultima series...