If you're set on a PS3, I keep hearing very good things about Burnout Paradise, which fits the arcade racer genre you mentioned. I hope to play it in the next few weeks, though I'm not sure if I'll rent it for PS3 or 360.
Honestly, in the genres you described, there isn't a lot going for the PS3 right now.
A few games worth buying are Uncharted and R&C and you should definitely give Heavenly Sword a rent (too short to justify the money). They don't really fit the genres you described but they're all quality games.

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