Infamous is really fun, so is Prototype 1/2. Very similar games
Ninja Storm 3 is fun, the online mode is laggy but everything else, the story, the vs mode, the challenge modes, the tournaments, are all really fun to play. The fighting and gameplay is very smooth and easy to learn IMO.
Tekken Tag Tournament 2 is one of the best fighting games the PS3 has. Mortal Kombat and Street Fighter IV are also good options.
GTA V would be a good choice if u can find a cheap used copy.
God of War 3 and Uncharted 3 are both great classic PS3 games. Theres good action, and good story.
If u can get Skyrim and Infamous 2 for $5 each then I'd say go for it. Skyrim lasted me 60 hours and Infamous 2 lasted about 1/4 of that
