Mainly speaking for Law.
Can you get into some? Undoubtedly. Do you have a shot at any you like? No.
For example don't apply for Manchester for law. They ask for 5 As at GCSE and a B in Maths (
Source). Given you have neither applying to Manc would be just p***ing away a UCAS slot.
Ditto Nottingham who have a policy about 'establishing an academic record' which means 'outstanding grades' of As and A*s at GCSE.
Source.
Also given you appear to have only 3 AS (why?!?) you won't be able to apply to unis like Warwick, which asks for a C in your fourth AS.
Source.
Finally, and this is just hearsay, apparently LSE are GCSE obsessed.
If you apply to Oxbridge it would seem logical to go for Cambridge, who go for AS percentage in a big way and thus probably aren't as fussed about GCSEs as Oxford, though this does depend on you getting your 90% average and not applying to Churchill who ask for 4 A2s.
Other Law Schools may also have similar policies, so just go through all the admissions stuff with a fine tooth comb.
Also, remember that policies depend on the Deprtment not the Uni, so for Manchester (who shaft you twice for law) you could do History.
Source.
When choosing between the two if you choose Law make sure you do want to study it. It can be quite a boring subject at times due to the nature of the Qualifying subject system. You can always be a lawyer with a History degree and, as it's a bit less competitive, you're likely to get a 'better' uni n your CV for History.