We also have the same problem, but there are several colleges that my daughter chose herself. One in Oxford, but I forget the name.

There are many colleges and other educational institutions in Oxford, it might be worth sending inquiries there. Choose a suitable field of study, what future profession does your child want? Are you looking for a college for yourself? In any case, I advise you to pay attention to this Cherwell College https://www.cherwell-college.co.uk/cherwell-college-oxford-courses One of the best options for school leavers right now. My children already study there and they like it very much.