Well, seeing as how I'm not going to finish Final Fantasy 13 I should list everything else I'm never going to finish. This list only consist of games for this generation and currently owned. I got to admit, a lot of these games were really bad and don't deserve to be played anymore. Some of them are quite well made. Either way probably never going to finish any of them.
 
Fear 2 
Quantum of Solace 
Motorstorm 2 
Vikings : Battle for Asgard 
Bourne Conspiracy 
Mercenaries 2 
Conflict Denied Ops 
Infinite Undiscovery 
Quake 4 
Eternal Sonata 
Dead or Alive Xreme Volleyball 
Far Cry 2 
Lost Odssey 
Mirrors Edge 
Perfect Dark Zero 
Prince of Persia 
Ninja Blade 
Wheelman