FPS: Goldeneye on the N64.
Point-n-click MMORPG: Guild Wars.
Sports: Golf, not the Wii stuff though.
Action: Maybe Rakion, but it gets boring with just the same characters.
Sandbox: Most likely Blockland.
Flash games: Scarygirl, although my computer isn't good enough to play the 3rd level. Progress is halted.
Music where you destroy colored notes: Rockband 2.
And then there's Armored Core for Answer. Was fun and had awesome music.