They have some DL programs (you can look them up) but here's a new one, an MA in Publishing (it's a bit unusual so I thought I'd mention it). Distance-learning MA in Publishing in development at Oxford Brookes University | Asia News – Politics, Media, Education | Asian Correspondent Publishing | MA Publishing
I know it's a perfectly good institution, so this is unfair, but I just have this vision of spending the rest of life saying, "Well, no, actually it's Oxford Brookes University...."
Being an OU gard and married to a Brookes grad, I just can tell you from experience in real life, to be an oxford brookes graduate is not a bad thing. OU grads always have to fight against the prejudice of being arrogant and too good for normal people's work. Brookes grad, especially form the planning and architecture department are highly in demand and known for a high quality but down to earth education. If you want to have a career in academia ... well, I have to admit that OU's reputation would give you a head start but people also expect the extraordinary from OU grads (trust me!) but just look up publications from Brookes affiliates, not a bad record either. However, the only problem Brookes start to have is a high number of foreign students with a very bad level of English .... this is not helping its reputation nor the academic quality. But I would not make my academic choice depending on a middle name!
I don't think it's unfair. And I wouldn't care if that school had a basis for that name. It's still misleading.
Oxford Brookes has been around under various names since the 19th Century. But it has always had the word "Oxford" in its name, simply because it happens to be located in Oxford. My impression is that Brits don't find this confusing or misleading -- they understand that there are multiple universities in Oxford which use the Oxford name, just as Americans understand that there are multiple universities in Chicago which use the Chicago name. Nobody (as far as I know) considers Chicago State University or the University of Illinois - Chicago to have misleading names, despite their obvious similarity to the much more prestigious University of Chicago name.
Well, it's the Ilummiatti really but for now we'll let that slide. English language schools have English language standards. Pass the test and you're in (assuming other adequate credentials). If there were more native English candidates then there would likely be fewer non-English natives being admitted. I'm not sure where the problem might be. I can't find it.