In London, one of the better programs for graphic design is at Central Saint Martins. I don't know much about the others at undergrad level... I think Chelsea has a good one as does Ravensbourne and Camberwell but I'd need to ask around to verify that this is still the case (I teach undergrad graphic design history so know a bit about this field!). Outside London, Reading is pretty good (about 30 min train to London). It used to be a 4 year undergrad program but about 2-3 years ago switched to 3 years which is standard for British undergrad degrees).
If you would consider way out of London, Falmouth is one of the best programs.
Just as a side note, I have no idea if your AS courses will transfer here or not...