RPGs: Dragon Quest, Ultima III
SRPGs: Final Fantasy Tactics
2D fighting games : Karateka
3D fighting games: Virtua Fighter
Racing: Pole Position
Platforming: Donkey Kong
FPS: either Battlezone or Koronis Rift
Shmup: Centipede
Action RPG/adventure: The Legend of Zelda
Metroidvania: Metroid