First and foremost, I'm a PS3 gamer. So yeah, only PS3 titles.
Okay, what I'm trying to look for are games that can be played every now and then. I usually play JRPGs, but those games are usually focused on storylines, so no good. Because I only play every once in a while, most of the time I always forget what's been happening on the game I've been playing.
You could say that what I'm looking for is not storyline intensive. Episodic or chapter-by-chapter is still acceptable. God of War, Prince of Persia, Assassin's Creed, titles like that. Also like FF13 post game, just wandering around, completing quests and whatnot.
What not to recommend: shooters and fighting games. i suck at those, so it's no fun for me. Also, I play offline. Too lazy, to get a router to hook up on my PS3. So no PSN download titles.
I would also greatly appreciate if you would include a short description of the title you're recommending and what makes it awesome.