Most the games I currently own. Whether I beat them or not, or plan on going back to it, or just haven't been "feeling it" for some time. Or the fact I have a PS3 slim and don't have my PS2 hooked up currently. As you can see, I pretty much only play Playstation...one day I'll have a 360...or whatever is out at the time when the day comes, but for now I'm in no rush.
PS2:
Valkyrie Profile 2
Persona 3 FES and Persona 4
LaPucelle Tactics
Disgaea 1 and 2
Hulk: Ultimate Destruction
Grand Theft Auto 3, Vice City, San Andreas
Guilty Gear XX
King of Fighters 2006 (Damn good fighting game, sadly they have yet to make more like this)
Marvel Vs Capcom 2
The Bouncer
PS3:
Marvel Vs Capcom 3
Mass Effect 2
Uncharted 2
Saint's Row 2
Infamous
Little Big Planet
Grand Theft Auto 4
PS:
Street Sk8er 2 (pretty solid skateboarding game, pre-Tony Hawk [when Tony Hawk games were good])
Final Fantasy 7-9
Legend of Dragoon
Grand Theft Auto 1, 2, and London 1969
Wild 9 (I'd LOVE a remake of that game)