I'm just going to vote for the consoles I own/owned, as I don't think I can comment on what defined a console I didn't own.
NES
1. Super Mario Bros
2. The Legend of Zelda
3. Duck Hunt
4. Metroid
5. Mike Tyson's Punch Out
Gameboy
1. Tetris
2. Pokemon Blue/Green/Red
3. Super Mario Land
4. The Legend of Zelda Link's Awakening
5. Super Mario Land 3 Wario Land
Megadrive (or Genesis)
1. Sonic the Hedgehog
2. Ecco the Dolphin
3. Streets of Rage
4. Mortal Kombat
5. Golden Axe
SNES
1. Super Mario World
2. Street Fighter II The World Warrior
3. The Legend of Zelda A Link to the Past
4. Super Metroid
5. Donkey Kong Country
PS1
1. Gran Turismo
2. Metal Gear Solid
3. Crash Bandicoot
4. Tomb Raider
5. Final Fantasy VII
N64
1. Super Mario 64
2. The Legend of Zelda Ocarina of Time
3. Goldeneye 007
4. Mario Kart 64
5. Perfect Dark
GBA
1. Pokemon Ruby/Sapphire
2. Advance Wars
3. Metroid Fusion
4. Golden Sun
5. Mario Kart Super Circuit
PS2
1. Grand Theft Auto III
2. Gran Turismo 3
3. Metal Gear Solid 2 Sons of Liberty
4. Pro Evolution Soccer
5. Grand Theft Auto San Andreas
Gamecube
1. Metroid Prime
2. The Legend of Zelda Wind Waker
3. Resident Evil 4
4. Star Wars Rogue Squadron II
5. Super Smash Bros Melee
DS
1. Brain Age Train Your Brain in Minutes a Day
2. Nintendogs
3. Professor Layton and the Curious Village
4. New Super Mario Bros
5. Advance Wars Duel Strike
PS3
1. Uncharted 2 Among Thieves
2. LittleBigPlanet
3. Heavy Rain
4. Metal Gear Solid 4 Guns of the Patriots
5. God of War 3
Wii
1. Wii Sports
2. Wii Fit
3. Mario Kart Wii
4. Super Mario Galaxy
5. Super Smash Bros Brawl