Im just gonna go ahead and list my favorite games of the past 5 years, genres be damned. Its increasingly getting blurrier, which is good but still makes stuff like this useless.
Fur Fighters
Jet Grind Radio
Half-Life 2
Max Payne (but NOT the 2nd)
No One Lives Forever
Project Gotham Racing 2
Rise of Nations
Rome: Total War
Super Monkey Ball Deluxe
Warcraft III
World of Warcraft
Honestly its a quite good list, I see some, most even, of my favorite games ever. I havent spent time with many of the generation's top games (God of War, Ninja Gaiden, etc.) but there's always time for that.
