I was born in 1990. The first game I ever played was DOOM on my dad's old DOS computer, and I was 4 or 5 then. I played a lot of other stuff on that old machine, too: Lemmings, Commander Keen, and Duke Nukem 3D namely (with adult mode turned OFF.)
A little later a family friend generously gave me an NES with several games, among which included Super Mario 3 (one of the best Nintendo games ever). I mostly forgot about the old DOS computer and had all kinds of mushroom kingdom-related adventures. On Christmas of 95, though, I got a Sega Genesis. For about three years following THAT, I had hours of fun with Sonic 3 & Knuckles, Vectorman, Urban Strike, and some other games I rented from Blockbuster back in the day when game rentals weren't so @#$! overpriced: Ecco the Dolphin, Earthworm Jim II, Sonic 2, etc.
On Birthday of '98 I got a Nintendo Sixty-FOOUURR! (Sorry, I saw a vid of the
Nintendo 64 kid as I was typing this.) I didn't exactly freak out screaming and yelling like the aforementioned kid (I had the flu or something and I felt like crap), but I did get to enjoy the likes of Banjo Kazooie, Super Mario 64, Turok, Zelda: Ocarina of Time and Majora's Mask, 007: the World is not Enough, F-Zero X, and Super Smash Bros. Melee. I also stayed up until 1:00 AM playing multiplayer deathmatch on James Bond Goldeneye with my first-person-shooter-loving dad on my birthday that following year, in 1999.
Um... discovered some video game collector website called "Gamegrandpas" in 2002-ish. Gained a wolfish taste for video game collecting thereafter. Got a Gamecube in 2003. Metroid Prime, Super Smash Bros. Melee, etc. Since then I've acquired, sold, and given away maybe a dozen different gaming consoles and games. I don't generally like keeping gaming systems or software unless they give me profound enjoyment. If I get something and don't enjoy it, have games for it, or have the console for playing it on, I just sell it on eBay. Currently I have and enjoy a Sega Genesis, Sega Saturn, Playstation, Gamecube, Gameboy Advance, and PC on which I play Duke Nukem 3D, Half-Life, and a decent assortment of Sega Genesis ROMs.