Mhm, my brother used to own an XBOX Original when I was a small lad. So I remember playing Squirrels: Bad Fur Day, I had no idea what the objective was, I just ran around and flew ships with other animals.
Halo 1, I remember playing the first missions over and over again, when the ship crashes, that was nice.
Nintendogs on Nintendo DS, Need For Speed Underground 1&2, And pretty much every GTA till San Andreas. These games looked so realistic when i played them...
Ratchet and Clank, Ratchet and Clank: Going Commando, Ratchet and Clank: Up Your Arsenal (Amazing game), Need For Speed III: Hot Pursuit, Need For Speed: Hot Pursuit 2, Need For Speed: Underground, Need For Speed: Underground 2, Need For Speed: Most Wanted, and Gen 2 and 3 Pokemon Games. So much fun, all of those.
Lego starwars, GTA 4 (cool kid playing on my brothers xbox when not allowed, remember it was "only a driving game" ) and random shitty flash-games online...