The following website provides a list (2013) of of over 1000 colleges and universities in the US that are known to have admitted homeschooled students. It also references more than 1000 colleges and universities that have an open admission policy. Colleges That Admit Homeschoolers
In an excellent (and comprehensive) article about homeschooling in the Stanford alumni magazine, some of the criteria that Stanford looks for are outlined. The article summarizes that its admissions officers are most interested in intellectual vitality, and flag homeschool applicants files with a special code to ensure they are reviewed. Stanford Magazine – Article
The National Association for College Admissions Counselors (NACAC) website has an article regarding homeschool admissions (pretty generic). College Admission for the Home-Schooler
Lots and lots of colleges accept homeschool applicants, and many seem to actually solicit and favor them. However, just like most things in the real world – there’s no such thing as a free lunch. Homeschoolers still have to demonstrate that they have prepared themselves to participate in, and succeed at college or university.
So, enjoy your learning … but document it well.