Seeing as I was SNES generation, I had really strong memories of Donkey Kong Country, Super Mario World and Megaman X (I love that game so freakin' much.)
Nowadays I pretty much play anything old or new (Not a big of FPS's who-ever, I'm a total RPG whore ). I've recently been sinking my teeth into Scott Pilgrim vs. The World: The Game and Castelvania: Harmony of Dissonance and Symphony of the Night, as well as other random games.
The first mix I listened to was completely by accident. It was Jared Hudson's FFX mix, 'The Final Summoning'. And since first coming to the site, the mixes I downloaded were a few of Sixto's song (Don't quite remember which ones though '...). From there I expanded to most of the metal artists on the site (Snappleman, Alisean, etc.) before my tastes 'matured' and expanded to more awesomeness via AnSo, Mazedude, Zircon and even towards bLiND, which I find sort of funny because I generally hate most mainstream techno, trance, house and blahdey, blahdey blah... (Love you bLiNd! ).
I'm thankful everyday for discovering this site, to DJP for creating it, the awesome mixers who put a lot of time and a shitload of effort into their mixes for others to enjoy (as well fueling my own desire to start making remixes of my own), and the forumites/community who make this place even more so to be one of the most awesome sites to be around.
Good lord, I started out with my favorite games, and I end up writing a giant post. Hope it isn't to much Mecha!