I'd highly recommend the PS3. I'm not a fanboy, I like both Sony and Nintendo. But honestly have never seen the appeal in Microsoft. PS3 definitely has the bigger library of games (with lots of ps1 classics to download too), more exclusives, free online with similar experience (minus cross game chat), and a blue ray player if you are interested. Sure more people (in the US) might have 360's compared to Ps3's, but that doesn't make it better at all.
You mentioned you aren't a fan of shooters. While i personally think PS3 has it's fair share of shooters too, the 360 pretty much focuses on shooters and wrpgs. The 360 wrpgs run slightly better but PS3 is the choice for jrpgs hands down.
Plus if you ever decided to get a Vita down the line having a PS3 would only benefit you.
