I'm very aware that there are plenty of non-Oxbridge universities in the UK (and elsewhere of course) that are of a high quality, my reasons for wanting to go to Oxford specifically aren't (entirely) because of the name it's made for itself.

- Most of my ancestors on my mother's side went to Oxford or Cambridge, so feels roughly inherited (no university on my Dad's side)

- I've lived in Oxford all my life, and a.) love this city and b.) have grown a sort of irrelevant pride for it (kind of a more localised patriotism)

- I've very close personal ties with two colleges here at Oxford, one of which is the one I'd like to attend

- I happen to know a few professors at Oxford (all in Music, as it happens), one of which is the director of music at the college I'd like to attend

The fact that "Oxford" on a CV traditionally looks better than some other universities is just an added benefit, I'm not someone who would chose it purely for that reason.