If a console is not listed that I own or used to own, it is because I got it as a gift or cannot remember entirely why I got it at first.
Saturn - Got it years after mainly for Virtua Fighter games, Sonic games and NiGHTS.
Dreamcast - Sonic Adventure. Launch.
Neo Geo Pocket Color - Sonic Pocket Adventure
Nintendo 64 - Conker's Bad Fur Day, I think
Game Boy Advance - Sonic Advance, probably some other stuff too
GameCube - The Legend of Zelda: Wind Waker, Super Smash Brothers Melee, Sonic Adventure games again
Wii - The Legend of Zelda series, original Sonic games and Nintendo EAD games.
Xbox - Shenmue II and Dead or Alive 3, Jet Set Radio Future also looked cool to me. Probably a lot of other stuff, I used to blindly hate the platform.
Xbox 360 - Sonic 06 (Yep.), Dead or Alive 4 (which ended up disappointing me a lot) and Ninja Gaiden II even though it was not announced at the time. I assumed this would be the next console I would be completely content with for 5 or so years, and I was right, but the first year was pretty bad.
PlayStation - Spyro the Dragon, Crash Bandicoot games
PlayStation 2 - Jak and Daxter, Shinobi, Final Fantasy X (LOL) and the first Crash Bandicoot game not by Naughty Dog, it was the last in the series I ever bought.
PlayStation 3 - Yakuza series, Naughty Dog games and miscellaneous games.