for RPG, Tales of Symphonia
for FPS, Time Splitters 2 or Future Perfect
for racing, Mario Kart and F-zero
for strategy, Fire Emblem: Path of Radiance
for fighting, SSB:M and Soul Calibur 2
for adventure, Zelda:TP (if you don't have Wii)

hmm... yeah that seems good to start with

THE JACKEL