I had all normal GCSEs in the following: Maths, Stats, English Lit, English Lang, Core Science, Additional Science, ICT, History, Geography, R.E (probably something else which I can't remember). Most of these were B grades with two C's and one A.
In my first year of Sixth Form I picked Maths, Physics, Biology and Chemistry. But I was relaxed and silly back then, didn't have the right mentality at all which led me to get UUEU respectively.
I chose to retake the year (obviously lol), dropping Chemistry but keeping the rest. I acheived AAB in my AS (Maths, Biology Physics).
I applied to study Civil Engineering early in my third year of sixth form at Cardiff University, University of Leeds, University of Nottingham, University of Liverpool and Nottingham Trent University. Received offers from them all.
I ended up with my final A Level grades as AAB (Maths, Physics, Biology) and got into my firm choice which I decided to be Leeds.
I don't think you'll have any problems at all applying for universities.