I thought I would post this, not to put people off, but rather to make them aware that Oxford isn't the bastion of egalitarianism that it claims to now be.
My Dd is in her first year at a well known Oxford college. It is an old prestigious one, that has a reputation for being particular pro state school.
In her year group, there is a clear clique of London schoolers, think St Pauls and Westminster. They tend to bother with one another only. "Do you have a place in London?" "I'm from London, smugly the middle bit" "Oh you're so South Ken"
Then there are the old Eton boys, Radley boys etc who seem to also stick to one another.
Private dining societies are still a big thing in Oxford. Whilst apparently they are open to non private school kids, you have to be invited and considered suitable. Ergo, those who come from certain families, went to certain schools.
Favourite activities are skiing and horses. Where are you going skiing this vac? Oh you don't ski? "Our family have known each other forever, we always ski together at Klosters"
DD's neighbour for example is a third generation Oxonian. She proudly caresses her signet ring when talking down to others. She said in freshers week that she'd only consider dating someone from Eton, or Harrow if she had to as she wants a husband like her dad. This girl didn't even get the entry requirements for her course, but after some negotiation got in.
My point being, far from reverse snobbery, is that there still is clearly a large group of hugely entitled people at Oxford. Being born wealthy is certainly none of their faults (nor is it a problem!). DH is from the boarding school type of family, but there seems to be a high preponderance of rich, London type who are keen on being exclusionary.
Never have I been asked in a snobbish way where I went to school, but dd has numerous times, and not in an interested way; a way to see if you are suitable for friendship.
Some friendship groups at her college this year were very much decided based on appropriate background. You get a tick if you're from London. A tick if you went to a select few schools. A tick if your parents know of one another. Another tick if you have a lodge somewhere too.