My first console was the NES, followed by Sega and the SNES, and the first game I remember playing was Bubble Bobble. So...yeah. I also had a few Disney-based games: Aladdin, Lion King, and one other I can't remember. My dad was into racing games, we had Lotus and some motorcycle title I don't remember, but we played a lot of those together. On my own I also played quite a bit of Sonic and Ecco the Dolphin (most frustrating game ever).
When we got the N64, it was all about Mario Kart. I also played a little Goldeneye, Donkey Kong, Banjo Kazooie, and a few Pokemon games (Snap and Stadium, which went along with me playing Yellow, Red, and Blue on the gameboy).
On the PC, it was all about Deus Ex, Baldur's Gate, and eventually Neverwinter Nights. I became a big fan of BioWare games because of their RPGs.