What PS3 games would I enjoy?

We’re looking at buying a used 60g PS3 and the only thing really holding me back is the worry that I’ll have trouble finding games that I like.

I hate shooters, they bore me to tears and make me angry and frustrated at the same time. Same goes for violence for violence’s sake I’m looking at you GTA. I’ve seen enough violence in my real life so I’m not looking to add any to my down time.

I like puzzles Prof Layton; Picross 3D; Mercury Madness, adventure games Zelda; Lego Indiana Jones, non-team sports Tony Hawk; Skate and unique games Endless Ocean is in my top five. I haven’t played a racing game since my old PS1 days so I don’t even know what that genre looks like anymore.

We’re buying the 60g for backwards compatibility (hello cheap games!) and it’ll be cheaper than buying the new ones. Problem is, this will limit us to very few downloads from PSN.

Are there enough games that you think I would like to make the PS3 worth it? Can you recommend some for me to look at?