Let's be realistic - game consoles are mainly for gaming, not for internet or watching movies, or whatever you can do with it nowadays. So what were the main games you bought a specific console for? Here's some of mine:
Sega Genesis - Golden Axe, Sonic
Xbox 360 - BioShock, Gears of War, FIFA 08
GBA - Wario Ware Inc.
Nintendo DS - Brain Training, Hotel Dusk, Wario Ware Touched!
Nintendo 3DS - Zero Escape: Virtue's Last Reward, Super Mario 3D Land
SNES - Zelda III (bought console at launch despite Zelda being delayed), ActRaiser, Super Ghouls 'n Ghosts
N64 - Star Wars Shadows of the Empire
PlayStation - Final Fantasy VII, Twisted Metal
PS2 - Star Wars Battlefront
Xbox 360 - Elder Scrolls IV Oblivion
PS3 - Demon's Souls
As a retro collector, or after its gen had ended:
Sega Master System - Phantasy Star, Golden Axe Warrior
Genesis - Shadow Dancer, Revenge of Shinobi, Golden Axe II, Ghouls 'n Ghosts
Saturn - NiGHTS Into Dreams
Dreamcast - Shenmue, Skies of Arcadia, Powerstone
GameCube - Metroid Prime
Xbox - Halo Combat Evolved, Fable
Also, I always preferred the PS1, but eventually caved when the N64 hit $100 and I bought one to play Goldeneye. I also completely fell into the hype surrounding the Xbox before its launch, and bought one at launch, along with Halo. (I probably would've bought one anyway, but the insanely good reviews for Halo helped a lot.) And lastly, the Saturn was the system that got me started as a collector..I bought one about a year after its death, mainly for NiGHTS and Panzer Dragoon Saga.
Sega Dreamcast- Sonic Adventure. I saved up for months to buy the console after seeing that game on display at Electronics Boutique and all the other game stores.
Xbox 360-Sonic The Hedgehog 2006. No i'm not joking, at the time I had not read any reviews of the game(except for the one in Gameinformer, and since they never seemed to like 3-D Sonic games anyways, I took it with a grain of salt) so I was totally unaware of it's negative reputation. I didn't regret my purchase one bit though, I had lots of fun with this game and was genuinely surprised to learn that many people hated it. Though had this game been released on the Wii like originally planned, I probably would've bought that instead as my last console was a Gamecube(which I bought for Metroid Prime among other games).
Master System: Wonder Boy, Choplifter, Alex Kidd
NES: Super Mario Bros
Genesis: Sonic the Hedgehog
SNES: Street Fighter 2, Super Mario World
Saturn: Albert Odyssey, Dragon Force, Panzer Dragoon Saga, Daytona USA
PS1: Tekken 2
PS2: God of War
N64: Super Mario 64, Killer Instinct Gold, Goldeneye
Gamecube: Metroid Prime
Turbo Grafx 16: Keith Courage......lol