Where have you looked at? I advise drawing up a spreadsheet of every Med School with their criteria and then rating/scoring yourself against them and if you feel are competitive, then check websites/old threads on here to see if your stats look good compared to what got an interview in previous years.
Your UKCAT is pretty good (would have been 9th centile last year and 2012-2013 was weird). You meet Plymouth's criteria for the last 3 years (they use UKCAT cut off) and with 3A*s, you may even persuade Exeter to make you an offer as they have some form of sliding scale where more A*s equals lower UKCAT.
I think your Leicester score will be 61.5 and last year's cut off was 59.5.
Aberdeen scores predicted/achieved A2s and UKCAT and carries your pre interview score forward to represent 50% of the post interview score when deciding who they will give offers to.
Barts use UCAS tariff and UKCAT 50:50, more details as to what is competitive here:
http://www.smd.qmul.ac.uk/Documents/admissions-2015-cycle.pdfYour UKCAT may be borderline for the UKCAT big boys, but as mentioned above, some of them may give you a bit of leeway with your achieved A2s (Kings, for example).
You need to check whether achieved A2s override GCSEs for the typically GCSE heavy Unis, eg Birmingham-so give them a ring and ask if it is not on their website.
The same really applies to those who combine GCSE/AS and UKCAT.
What is your PS like? You would meet Manchester and Sheffield's UKCAT cut off, I suspect, and then it is down to PS.
You have really good stats and not terrible GCSEs, so don't be put off, get researching, emailing and calling and you should easily be able to find 4 places to apply where you have a pretty high chance of an interview, and then it is all a level playing field (except at Aberdeen, where you would have a bit of a head start!)
Good luck!