Im going to suggest games that are EXTREMELY fun but since their old school, graphics arent going to be amazing. Manhut. I havent played it yet but i heard its a great game. PS2
Jak and Daxter: The Precursor Legacy < One of the most beautiful games i have ever played in my life. I would trade any story line game for this, it is very fun, addictive, and amazing. The story is interesting and its really really fun. PS2
The Legend of Zelda: Ocarina of Time < Another beautiful game. Very adventoures and fun to play. Lots of shit you can do here. N64, Emulator
Max Payne 1 & 2 < The title speaks for itself. THIS IS A MUST PLAY!!!!! PC, PS2
Pokemon Fire red < Your usual Pokemon, fun to play when your bored. GBA (Gameboy Advance), Emulator
Luigis Mansion < Very very very fun game. Its very adventoures and exciting to play. Lots of funny moments. Gamecube, possible Emulator
Gears Of War 1 & 2 < Title speaks for itself. Xbox 360
Resistance: Fall of Man < Very fun game with a good story. PS3
Metroid Fusion < Very fun game, and adventoures. GBA, Emulator
These games are very fun, try them if you can. I do not encourage you to illegally download any of these games and/or use emulators to play. Do as your own risk. Your responsibility.
These games are really fun, the old ones like PS2/PS1/GBA dont have that good graphics, but their stories are amazing.