If you like NIS then its the PS3.
Cheap party games, both are great, unless you get kinect, then 360 is better.
TP adventure, PS3 : Uncharted is the perfect example. There are others too, like Heavy Rain.
360 has fable 2 though, which was awesome and there's fable 3 as well.
I would personally go with the PS3 on this one.
Platformers: It would be your preference because both have some good platformers in my experience. Ratchet and clank was great and so is LBP2, but 360 has limbo and super meat boy so its your choice.
Shooters: They have almost the same no of shooters. PS3 is releasing like 4 shooters this year itself like socom, resistance, killzone(already released) and uncharted.
Strategy/sim: 360 has halo wars so you may like that.







