Games 4 Jacob:
2004:
Chronicles of Riddick: Escape from Butcher Bay
Katamari Damacy

2005:
Oddworld: Stranger's Wrath
Killer7

2006:
Mother 3
Hitman: Blood Money

2007:
STALKER lmao
Splinter Cell: Double Agent

2008:
Dark Messiah of Might and Magic (I'm sure you've heard enough of this from elijah, mohammad, tristan, and aron)
Bully
The World Ends with You (Note: this is a amazing game but hard to emulate controls wise)

2009:
Arkham Asylum (Metroidvania style which is why I would advise you to play it)
GTA: Chinatown Wars (Might look down on it as a mobile version of GTA but still really fucking good)
50 Cent: Blood on the Sand	(really though)
Zeno Clash (Mohammad game)
Rabbids Go Home (I just had to bring attention to this game)

2010:
Bayonetta
No More Heroes 2 (use the classic controller on Dolphin, so you can use a 360 pad)

2011:
Limbo
Deus Ex: Human Revolution (Do not get director's cut)
Driver San Francisco (I'd definitely hesitate to recommend normally but this game is damn good)
Arkham City (just if you want more of asylum)
Shantae: Risky's Revenge - Director's Cut

2012:
Spec-Ops the Line
Cave Story (Cheating here seeing as it's the 3ds release but fuck you)
Dishonored
The Witcher 2