3rd Gen - NES: My parents bought it for me for Christmas that year, and I still remember literally screaming as I tore the wrapping paper off. I never owned a ton of games for it, probably only a couple - Dragon Warrior and Iron Sword - but rentals of Metroid, Legend of Zelda, Castlevania, Ninja Gaiden, and a slew of others really ignited that initial spark of addiction for me.
4th Gen - SNES: A lot of people I knew had a Genesis, but for me, this was THE system, and I still think it's one of the best consoles ever produced. Great controller, better build quality than the NES, and an absolutely incredible library of games.
5th Gen - PlayStation: Up to this point, I was a die-hard Nintendo fan. Two consoles, a subscription to Nintendo Power since almost day one, hooked on all their main series, the works, and it all died the minute I saw the N64. Gone was the elegantly minimal look of the SNES, gone were the exotic, elaborate worlds I got to visit in games like Final Fantasy VI and Super Metroid, and in their place was a hideous, plasticky thing with an awkward controller, and childish games filled with primary colors. I hoped for a sign that things would get better, but as time wore on, I gave up on console games and Nintendo entirely.
A couple of years passed, and as far as I knew, things were more or less as I'd left them, until I went over to a friend's place one night before we went out to a club. I was playing with his cat for a little bit, and he mentioned that her name was Aeris, which seemed like kind of an odd name... then he tells me it's from Final Fantasy VI.
"There's a Final Fantasy 7?!" I ask.
Long story short, that moment signified my return to console games, and the start of a bit of an obsession with the PS1, which for me, was basically everything that the N64 should've been, and never came within miles of offering. It really was the true successor to the SNES, and overall, I think it's still a better system than anything Nintendo's ever produced.
6th Gen - PlayStation 2: Shocking, right? This was the first (and only) console I've stood in line for overnight on launch day to buy, and it's been a constant companion ever since. Absolutely my favorite system of all time, thanks in large part to a ridiculously large number of great JRPGs, SRPGS, 2D fighters, bullet hell shooters, and everything in-between.
7th Gen - PlayStation 3: Continues the lineage nicely, with better build quality than the PS2 (and obscenely higher quality than the pre-Slim 360's), more or less than same DualShock controller that I'd used for years and loved, free online, no ads plastered all over the screen, region-free imports, user swappable hard drive, no gigantic power brick, and tons of awesome exclusives. My only real complaint is that they removed backwards compatibility for PS2 games, but all things considered, I love the thing.