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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2005: Kameo 2006: Gears of War 2007: Halo 3, Portal 2008: Fallout 3 & GTA IV and MGS 4 2009: Batman Arkham Asylum & Halo 3 ODST 2010: Red Dead Redemption & God of war 3 and Halo Reach 2011: Deus Ex: HR & Skyrim 2012: Far Cry 3 and Max Payne 3 2013: GTA V & TLOU [spoiler] 2014: probably Destiny & Watchdogs [/spoiler]