Are unis like Imperial, UCL, Bristol and Kings just as competitive as oxbridge?

It's quite a difficult question to answer, because for medicine nearly all the applicants have the academic ability needed to apply for oxbridge in less popular subjects anyway. For oxbridge there will probably be less people applying for the places but they'll be looking pretty much for insanely talented students, whereas at the other unis you'll have the oxbridge applicants applying there, plus the people who are good enough to apply to oxbridge but don't want to, plus the people at the level below that, resulting in more applicants who perhaps aren't all as stunningly good but are still 3 A students (the same thing happens for subjects like english, which is why it could be said it's harder to get into somewhere like bristol for english than cambridge). So yes, those unis could be said to be just as competitive because it's such a lottery when applying for medicine - I know a girl who got into cambridge but nowhere else - but Oxbridge is looking for a stronger type of applicant, if that makes sense. However Imperial and UCL are looking for ridiculously talented people as well and can afford to look out for the same type of people that Oxbridge are.