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[weekev]

In order of console ownage (handhelds seperately)
Sinclair Spectrum ZX - Manic Miner
Sega Master System - Alex the Kidd in Miracle World
Sega Mega Drive - Sonic 2 and Golden Axe kinda popped in at the same time
N64 - Goldeneye
PS1 - Metal Gear Solid
PS2 - Gran Turismo 3
Gamecube - Luigis Mansion
PS3 - Uncharted 3
Wii - Mario Galaxies
Wii U - Splatoon
PS4 - Rocket League

Handhelds
Sega Gamegear - Sonic
Gameboy - Tetris
Gameboy Color - Pokemon Yellow
Gameboy advance - kuru kuru kururin
DS - Mario 64 DS
3DS - Animal Crossing New Leaf

 

[WolvenOne]

Lets see.

NES: Mega Man 2
Genesis: Sonic The Hedghog
Super Nintendo: Actraiser, for some inexplicable reason!
Saturn: Panzer Dragoon Zwei
PSX: Final Fantasy 7
PS2: Dragon Quest 8
Playstation 3: Dark Souls
Xbox 360: Blue Dragon

Edit: Oh, right, Wii, GameCube, and N64.

Wii: Klonoa Remake
N64: Ocarina of Time
Game Cube: Super Mario Sunshine

 

[Goldenmoney]

Gameboy: Pokemon Red
N64: Super Mario 64
PS1: Crash Bandicoot
Gameboy Advance: Pokemon Fire Red
Gamecube: Super Smash Bros. Melee
PS2: Jak and Daxter
Xbox: Halo 2
Wii: Goldeneye
PS3: The Last of Us
360: Halo Reach
Wii U: Splatoon

 

[DriftedPlanet]

I'm counting revisions as separate if I think they changed enough to be significant (eg: gba & gb micro, ds & ds lite, 3DS & N3DS had significant improvements because size, battery, and shape are very important in portables).

SNES: LoZ: A Link to the Past
PSX: The Unholy War
N64: Super Smash Bros.
GameBoy Color: Rugrats: Time Travelers
PS2: Shadow of the Colossus
Gamecube: Pokemon Colosseum
GameBoy Advance: Pokemon Fire Red
GameBoy Micro: Pokemon Emerald
DS: NintenDogs
DS Lite: WarioWare Touched!
X360: Red Dead Redemption
PS3: Journey
PSP: Kingdom Hearts: Birth by Sleep
Vita: Tearaway
3DS: LoZ: Ocarina of Time 3D
N3DSXL: Monster Hunter 4 Ultimate
WiiU: Mario Kart 8
PC: Half-Life
Xbone: Halo MCC
PS4: Kingdom Hearts III