I personally prefer console shooters and PC RTS and flight sims, the latter simply due to the fact that I have a joystick for my PC and not for the 360. I'm too lazy to get a 360 joystick.
Halo Wars was an awesome console RTS, and they somehow managed to make the interface incredibly easy to use.
the Console did not murder graphics. seriously. Go onto acecombatsix.com and go to "Is It Real?". if you easily get every plane right (whether it's an Ace combat plane, or a real-life photo) then you may try to compare the graphics between the two.
(http://www.acecombatsix.com/?l=poll)
For me, among the consoles, I love the 360. why? it's got:
HALO!!!!!!!!!
HALO 2!!!!!!
HALO 3!!!!!!!
...
sorry, they were too awesome to be put on the same line. but if that isn't enough, then there's
Gears of War, 1 & 2
Ace combat 6
Bioshock
Mass Effect (yes, I know these two are on PC)
Assassin's Creed
soon coming:
Halo 3 ODST (ODST = Orbital Drop Shock Trooper - these guys are awesome)
Bioshock 2
Forza motorsport 3
Mass Effect 2
Assassin's Creed 2