Do not do a games design/game making degree.
Do something that revolves around programming in C* or C++; and another medium like Java. You will also want to start a portfolio of work such as mini projects / games you've undertaken in your spare time. Try making games using Microsoft C++ etc; it will take you ages to get used to it if you're new to programming. It is no different to learning another language... several, in fact.
While you are doing ICT; Computing would have been FAR superior as an A-Level. That's what I did and now I'm doing a Computer Forensics & Security degree and I'm head and shoulders above the ICT dude in programming and just outright understanding of computers under the bonnet. Game programming was my second option but I figured if I made the games I wouldn't enjoy them as much to play them, plus I want to go into counter-cyber terrorism and possibly cyber warfare, which just seems more interesting to me.
A natural interest in computers and keeping informed with technological advancements helps massively, too. Also, the Computing A-Level teaches you programming, algorithms, networks, hardware, firmware, testing - all sorts. ICT is just office software packaging usage, a GCSE in that is good enough really; the A-Level is just to say you're exceptional at word processing/excel/databases.
Since you're already in year 2 of your A-Levels, Computing is no longer an option. You're going to have to start compiling this concept and minigame printout/dvd portfolio if you want to stand out in the crowd. While the games industry in the UK is about to undergo a massive cash injection since it's shrank, and the government want to boost it back into the top 3 for game making; you're trying to get in at the best time. you might not even need to go to university if you get in with someone small initially and work your way up, but university or no university you definitely need that portfolio to show what you can do in your spare time.
Other than that you need to get working in your own time on small games in flash or whatnot; even just concepts are good enough; then march down to your nearest Dev and ask for work experience...