I was given Little Big Planet and Prince of Persia. I've been looking at the list of games and most PS3 games I would be interested in I've played. Has anyone tried Siren 3?
Two of my favorite games so far (I only got a PS3 when the slim was released) have been Uncharted / Uncharted 2 (the 2nd game is better in various ways, but the first is absolutely a great game, and well worth getting), and Assassin's Creed 2.
Assassin's Creed 2 may be a multi-platform title, but man, it has the most amazingly
huge and intricate environments, and fun sandbox gameplay; it's also
gorgeous, and avoids the "repetitive sparse environments" problem that some other sandbox games have. Uncharted 2 has even cooler and more detailed environments, but it's very linear, and keeps you strictly within a certain path/area; A.C.2 lets you roam entire cities (and the surrounding countryside) freely, and still manages to be intricate and interesting!
The strong narrative drive of Uncharted2 and the free roaming of AC2 are good alternatives I think.
[I've avoided buying Bioshock as I get the impression it's way overhyped.]