I voted university, but I guess after thinking about it, I actually say college a lot more (I go to an university).
I've often felt that people who call their school a "University" are usually the worst type of stuck up snobby douche knuckles. That's right you self important "University" people, why don't you take a lesson from ole' ADOLF S.S.J Hitler's book and end your life.
So in short I say college.
I always thought saying "university" was a European thing.
Though I believe I recall "college" meaning "high school" in French, and "université" means "college." Or "university," I guess.
I suppose I can see the logic of differentiating between community colleges, trade schools, etc and universities...but here in the US it seems pretty arbitrary as to whether an institution of higher learning calls itself a college or university.