We're sticking to games on the next generation for 2005, 6, etc. and games out in that year, not when you played them (I loved some games a few years late).
2005: Condemned: Criminal Origins
2006: Gears of War
2007: Halo 3
2008: Gears of War 2
2009: Assassin's Creed II
2010: Red Dead Redemption
2011: Skyrim
2012: Halo 4
2013: GTA V
No BioShocks... Can't argue with Rockstar and Bungie, though.
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2006: Legend of Zelda: Twilight Princess 2007: Mario Galaxy 2008: Fallout 3, Super Smash Bros Brawl, World of Warcraft: Wrath of the Lich King, Gears of War 2 2009: Uncharted 2, Halo 3: ODST 2010: Mario Galaxy 2 2011: Skyrim, Arkham City, Gears of War 3, Dark Souls, Halo CEA 2012: World of Wacraft: Mists of Pandaria 2013: GTAV[spoiler]2014 will probably be Halo 5, Dark Souls 2, and World of Warcraft: Warlords of Draenor[/spoiler]