This wasn't as hard as I thought it would be.

Gameboy - Super Mario Land 2,  GBA - Metroid Zero Mission,  NES - Double Dragon 2,  SNES - Chrono Trigger, N64 - Star Fox 64,  Gamecube - Resident Evil 4,  Genesis - Contra Hard Corps,  Dreamcast - The Typing of the Dead, PSP - GTA Chinatown Wars,  PS1 - Final Fantasy 7,  PS2 - Xenosaga,  PS3 - Unreal Tournament 3,  PC - Doom (is there any other choice?)

Well, the games from consoles I don't own limits me pretty steeply, since all the old Nintendos and Playstations were my brother's.

So,

N64 - Star Fox 64

Gamecube - Wind Waker

The rest of what I own are handhelds.

DS - Elite Beat Agents

GBA - Metroid Fusion

GBC - Pokemon Pinball

Game Boy - Solar Striker If it was my older brother's Game Boy, but I still have it and own Pokemon Blue for it, does that count? 

If your bro's owned it then it's still yours technically. I was referring more along the lines of games played on a console that you rarely played.

For instance; if I played a Virtual Boy at a friends house a couple times but never bought one or had one in my house then I wouldn't count it.

Well, he owned, and I often played

NES - Super Mario Bros./Duck Hunt

SNES - Super Street Fighter II: Turbo

Playstation - Metal Gear Solid

PS2 - Sly Cooper

Atari: Pong
NES: Mario 3
SNES: Super Punch Out
N64: Smash Bros
PS1: Legend of Legaia
PS2: GTA III
PS3: Demon's Souls
Xbox: Enclave
360: Dark Souls
Gamecube: Smash Bros Melee
Wii: Smash Bros Brawl
WiiU: ZombieU
Genesis: Beyond Oasis
Dreamcast: Ready to Rumble Boxing
Gameboy: Final Fantasy Adventures
GBA: Final Fantasy V
DS: Dragon Quest IX
3DS: Monster Hunter 3 Ultimate

I think that's it?

Oh hell, you're really giving me a challenge now

GB - Snow Bros, GBC - Pokemon Gold, GBA - FFVI/Golden Sun

DS - maybe Knight's in the Knightmare, maybe (i'll get back to you)

Gamecube - Viewtiful Joe, Nintendo Wii - Xenoblade, 

PS2 - (i'll get back to you), PS3 - Arkham City

PC - Only just became a PC gamer 

nes- journey to silius
snes- super metroid
n64- perfect dark
gamecube- metroid prime
wii- resident evil 4
gameboy- final fantasy adventure
gameboy colour- legend of zelda: oracle of seasons
gameboy advance- metroid fusion
nintendo ds- castelvania: order of ecclesia
sega genesis- sonic the hedgehog 2
sega saturn-
sega dreamcast- soul calibur
psone- metal gear solid
ps2- kingdom hearts
ps3- ratchet and clank future: a crack in time
psp- grand theft auto: chinatown stories
xbox- halo
xbox360- halo 4
pc- descent
iphone- robokill

that is what I can come up with off the top of my head.  I am sure that some of them would change, if i could think of a game that I prefer. 

Atari- PACMAN
NES- Ninja Turtles
Gameboy- Links Awakening
GBA- Golden Sun
SNES- Street Fighter
N64- Rogue Squadron
PSOne- Valkyrie Profile
PS2- Final Fantasy 12
Gamecube- Rogue Squadron
NDS - Castlevania (all of them)
3DS - Mario 3DLand 
Wii- Xenoblade
PSP- God of War
PSVITA - Persona 4 Golden
PS3 - Demon's Souls
XBOX - Ninja Gaiden/KOTOR
XBOX360 - Shadow Complex
WiiU- ZombiU
PC- Baldurs Gate

Atari 5200: Pengo

Apple ][+: Spare Change

NES: Zelda

SNES: Final Fantasy 6

Game Boy: Zelda: Link's Awakening

GBA: Astro Boy: Omega Factor

N64: Super Mario 64

PSOne: Namco Museums vol. 1 to 5

Dreamcast: Marvel vs. Capcom 2

GameCube: Animal Crossing

PS2: Katamari Damacy

Nintendo DS: Phoenix Wright

PSP: Loco Roco

Wii: Super Smash Bros. Brawl

Xbox 360: Soul Calibur 5

PS3: Ni no Kuni

3DS: Theatrhythm Final Fantasy

Arcade: Flying Shark
Atari 2600: Stampede
Intellivision: Sea Battle
ColecoVision: Venture
NES: Wizardry
SNES: Donkey Kong Country
Genesis: NBA Jam
PS1: Hogs of War
N64: Hexen
GBA: Advance Wars
Dreamcast: Sega Marine Fishing
PS2: Dragon Quest VIII
Xbox: Black
DS: Mario & Luigi: Partners in Time
PSP: Patapon
Xbox 360: Crackdown
PS3: Valkyria Chronicles
Wii: Muramasa: Demon Blade
3DS: Etrian Odyssey IV

NES  TMNT 2 The Arcade

SNES Final Fantasy VI

PS1  Final Fantasy IX

PS2 Dragon Quest VIII

GameCube  Zelda Wind Waker

GBA  Metroid Zero

DS   Final Fantasy IV

Wii  Xenoblade

PS3  Mass Effect Trilogy (yeah, its technicaly cheating, but to me its just one bigass game)

I really don't do good at favorites, it just not my style. So don't supprised if I post a completely different list tommarrow, LOL!

Oh cool Idea:

NES: Super Mario Bros

Gamegear: Sonic the Hedgehog

Gameboy Color: Pokemon Blue

N64: Super Mario 64

Gamecube: Windwaker

GBA: Pokemon Fire Red

DS: Pokemon SoulSilver/Black 2

Wii: Super Mario Galaxy:1&2

PS3: Batman Arkham Asylum/City

360: Banjo Kazooie: Nut's and Bolt's

3DS:Luigi's Mansion Dark Moon

Wii U: NSMBU/Nintendo Land

N64-Goldeneye,PS1-Parasite Eve,PS2-Metal Gear Solid 2,XBOX-Halo,PS3-The Orange Box,SNES-Super Mario World,Vita-Gravity Rush,DS-Dragon Quest 9,Wii-Red Steel,Gamecube-MGS The Twin Snakes,PSP-The 3rd Birthday,XBOX 360-Red Dead Redemption,Dreamcast-Soul Calibur,NES-Final Fantasy,3DS-Ocarina Of Time

NES--Super C

SNES--Final Fantasy VI

Genesis--Contra: Hard Corps

PS1--Chrono Cross

N64--Zelda: Ocarina of Time

GameCube--Metroid Prime

PS2--Beyond Good & Evil

Wii--Super Mario Galaxy 1/2

360--Mass Effect

PS3--Deus Ex: Human Revolution

Game Boy--Zelda: Link's Awakening

GBA--Castlevania: Aria of Sorrow

DS--Castlevania: Dawn of Sorrow

PSP--Mega Man Powered Up

3DS--Shinobi

If I was gonna second guess myself on anything, it'd probably be Game Boy. I really liked Donkey Kong '94.

Sega CD(before I sold it) - Lunar SS

NES - Dragon Warrior 4

GB - Kirby

GBC - Zelda oracle of seasons/ages

GBA - Golden Sun

SNES - Super Mario RPG

N64 - HM64

PSone (before it broke) - Suikoden

PS2 (before giving away) - GRandia 2

PS3 - Heavy Rain

360 - Fable series

PC - Master of Orion

GC (before selling) - Tales of Symphonia

Wii - Trauma Center

Sega Gen(before selling) - Sonic and Knuckles

PSP - Corpse PArty

DS (beofore selling) - Dragon Quest 4

3DS - Theatrerhythem Final Fantasy

Atari 2600 - Maze Craze

NES - Super Mario Bros. 3

SNES - The Legend of Zelda: A Link to the Past

N64 - The Legend of Zelda: Ocarina of Time

GC - Animal Crossing

Wii - Mario Kart Wii

GameBoy - Tetris

GameBoy Color - The Legend of Zelda: Oracle of Ages

GameBoy Advance - Final Fight One

DS - SMT: Devil Survivor

Sega Master System - Black Belt

GEN - Sonic the Hedgehog 2

SAT - Street Fighter Alpha 2 Gold

DC - Grandia 2

GameGear - Mighty Morphin Power Rangers

NeoGeo AES - NAM-1975

NeoGeo MVS - Metal Slug

NeoGeo Pocket Color - Metal Slug: 2nd Mission

PS - Metal Gear Solid

PS2 - Persona 3

PS3 - Mass Effect

PSP - Persona 3 Portable

XB - Star Wars: Knights of the Old Republic

360 - Mass Effect 

PC - Mass Effect