Gameboy: Warioland
Nintendo 64: Goldeneye, Banjo Kazooie
Dreamcast: Crazy Taxi, soul caliber
PS1: Resident Evil, Spyro: year of the dragon
GBASP: Pokemon Fire red/Leaf green
PS2: ICO, SSX 3, Vice City
360: Gears of War
PS3: Either Uncharted 2 or Journey... but TLOU and GTAV are looking incredibly promising.
PSV: So far, Uncharted: Golden Abyss and Motorstorm RC, but this is incredibly new
PC: Civilization and RCT. No game in particular, both series as a whole