Well, if your PS3 is backwards compatible, I'd say go try the Tokyo Xtreme Racer series. While the handling in each game is a little wonky, all are very addictive sim-cade racers that don't require an unhuman level of knowledge of cars in order to play (it helps, but it isn't required by any means).
Blur is a fantastic mix of Mario-Kart/Wipeout and your typical PGR/NFS style sim-cade racer, so that definitely sounds like something you'd want to play.
Need for Speed: Shift is indeed more of a sim than previous titles (which is how the series started, FYI), but unlike many modern serious sims there is enough arcadish-ness to make it a hell of a lot of fun IMO.
If you liked NFS: Most Wanted, NFS: Carbon is much of the same with less emphasis on police chases and a dash of touge mixed in. Rather underrated, in my opinion.
Ridge Racer 7 is a rather simplistic and fun arcade racer, especially if you want a game where you just race without any drifting competitions/drag races/time attacks/etc. getting in the way.