Most of the top universities that offer a doctorate program in physics would most likely have a course or group of courses in cosmology. Many of the applicants to this program would either be striving for a physics or astronomy degree. Plus, very few jobs require anything less than a doctorate degree. According to the website, American Astronomical Society, there are a number of colleges that have astronomy departments and in turn would offer a cosmology class.
Some of these universities would include Agnes Scott College, University of Alabama at Huntsville, Arizona State University, Ball State University, Barnard College, Benedictine College, Boston University, Bowling Green State University, Brigham Young University, University of California at Berkeley, Los Angeles, and Calvin College in Michigan, to name a few.
The universities in the US that offer courses in Cosmology are as follows: Ohio University: Ph.D iand M.Sc course in astrophysics and cosmology; California University - Physics Dept - is a major center for interdisciplinary research in observational cosmology with studies arranged via Enrico Fermi Institute and The Kavli Institute for Cosmological Physics; Princeton has a long tradition in observational, numerical, and theoretical cosmology - Dept of Astro-physical science; University of Chicago - Dept of Astronomy and Astro-physics.
You will often find that Cosmology is one sub-part of an Astronomy degree and is often aimed at post-graduates rather than undergraduates.