First off: PS3 HAS LAG, holy sh*t every console has that.
Sorry, but half your facts can be countered by the 360.
Baseball: MLB 10 or whatever
Sim racing: PGR 3,4 / Forza 1,2,3
Offroad racing: MX vs. ATV (any)
FPS: Halo series, biggest selling exclusive of all time, 'nuff said.