For me, on the PS2, I always play Devil May Cry 3: Special Edition as a 'practice' kind of game, been playing it as Vergil ever since it came out and have SS ranked all the missions from Easy to Very Hard, VMD will take me a good while to deal with...
As in general, I'm a bit of completist, and trophy hunter, Blazblue was the first game I got a platinum, then came God of War 3, but I have plans to play the PS3 releases. Other games I play are Street Fighter IV, FFXIII, Darksiders and the Uncharted series.