Depends on a variety of preferences you may, or may not have.
All I can tell you which I believe offers the best in these departments.
X360:
RPG'S/Racing, FPS&TPS/RTS (Although this will always stay pc territory)
- Forza franchise is great and sees frequent releases
- Halo Wars is a great RTS
- Halo, Gears of War etc are great, but as you said, you are not really looking for shooters
- Mass Effect franchise is something you should not skip if you love RPG's
PS3:
Platformers/Action-Adventure games/"Hack&Slash"
- Ratchet & Clank franchise is a absolute must
- God of War franchise also an absolute must
- "Ico" HD collection is definitely worth looking at
Of course these are my personal opinions, and you may or may not agree with them, just trying to help you out, I personally prefer my X360.
Note:
Maybe it's best to wait untill after E3 & WiiU launch to check any possible price drops or game announcements.