Prototype, Saints row the third, Borderlands, Disney infinity, Condemned: criminal origins, Assassins creed series, The orange box, Just cause 2, Sleeping dogs (with dlc), Portal 2, GTA 4 and five, Call of duty black ops, Fear 1,2, and 3, Dead island series, Halo 4, Dead space, Bioshock series, Saints row 4.
Grand Theft Auto IV, Grand Theft Auto V, Call of Duty Ghosts, Call of Duty Black Ops, Call of Duty Black Ops 2, Call of Duty Modern Warfare, Call of Duty Modern Warfare 2, Call of Duty Modern Warfare 3, WWE '13, WWE 2K14, NBA 2K14, and Rock Band.
It depends on what kind of games you like. There's Guitar Hero for just chilling First Person Shooters: Halo, Bioshock, Borderlands Sports: NBA, FiFa, Maden RPGS: Blue Dragon, Skyrim, Star Ocean: Till the End of Time, Eternal Sonata, and if you're feeling Hard-core, Dark Souls Racing: Blur, Burnout, Need for Speed Fighting: Persona 4, Soul Caliber, Deadpool, Dead or Alive, BlazBlue Hack 'n Slash: Dynasty Warriors, Devil May Cry, Lollipop Chainsaw, Metal Gear Solid, Revengence. Combat Flight: Ace Combat, IL-2 Sturmovik, Over-G Fighters, Tom Clancy's Hawx
I think it depends on the kinds of games you like I'm a girl and I love a lot of the games already mentioned. Some of my favourites being Fallout 3 and Fallout New Vegas, Assassin's Creed Brotherhood (I wasn't very fond of the first one), Grand theft auto IV+V, and I love the Fable franchise. But as I said, it definitely depends on your taste. Like I didn't like FPS until I played Fallout, but if you're more into adventuring and story, I would go with Fable or Elder Scrolls.