Community colleges are rarely described as "state colleges." The latter refers to state-backed higher education institutions, from De Anza College to the University of Pennsylvania.
The delineation between colleges and universities varies regionally. Nowhere does it solely signify exclusivity. In America, there is an accreditation difference that largely pertains to graduate school.
UNC Chapel Hill, UVA, Virginia Tech, College of William & Mary, Georgia Tech, UT Austin, University of Illinois Urbana-Champaign, University of Wisconsin Madison, Purdue...
America has a solid stable of top-tier public universities.
Pareto heuristics suggest there will be about 300 "good" universities that people compete over compared to the other 1300 we can't name.