You spelt prestige wrong
What do you mean when you say 'literally' hundreds
of students? Oxford and Cambridge each boast around 3,000 students, and Oxford also has Oxford Brookes, Cambridge has the Ruskin College....
I personally want to go to Oxford for a myriad of reasons. Of course, the prestige is one of them. The fact that I'd be in regular contact with internationally renowned academics is, of course, also attiring. These are people who've achieved exactly what I want to achieve, so they're not only awe-inspiring, but inspirational in their very presence.
The fact that the collegiate system makes you feel like you belong personally to a collegiate family, yet still part of the whole is desirable. You're not swallowed up by a crowd, but there's still that variety. You also get attached the your college, which I hope I'll experience.
The fact that it's rated as the second best institution in the World and consistently rated the top university in Europe shows the global regard for it; crucial for me, as I aim to work internationally.
Of course, it'll open doors, and you're also bound to meet people who'll go on to be very successful - contacts are things of which you can never have too many. Your job prospects are generally highly elevated with an Oxbridge degree.
The fact that people of a similar mindset will be there was probably the biggest factor in my decision to go there, I would say. Not just because I'm competitive, and want to be the best among the best, but because I've always had to put up with comments at my school about me being a swot, a fag, a geek, a loser, just because I like to read, to talk, to debate and to write. Of course, I enjoyed the popularity of being Chairman of the Sixth Form, and writing the school panto and stuff, but I just want to be with people who think along the same lines and share the same interests, have the same abilities. Not the same people from council estates and such who think the perfect Friday night is spent listening to chav music in Town (no offense).