Hey!
I'm just about to start studying Graphic Design at NTU (Nottingham Trent University) in a couple of weeks, so having just been through the whole process of researching every uni out there, to narrowing it down, to open days, applying, interviews and all the rest, I might be able to help you out a bit!
I'll move onto NTU in a bit because obviously I'm biased because it was my first choice all along! The first thing I did was find pretty much every uni that has a graphics course, using 'WhichUni?'. Then I read some of the information on both the courses and the uni's and narrowed it down to about 30 (there are A LOT of uni's out there!). I then looked at the league tables for Art & Design courses as well as the overall league tables and compared the ones I was interested in. From all the research I did, the ones that seemed to have the best reputation for Graphics are Kingston, Bath Spa, University of the Arts London, Leeds and Leeds College of Art, Norwich University of the Arts, Lincoln, Manchester Metropolitan, Plymouth, Coventry, Arts Uni Bournemouth and obviously NTU! Please bare in mind that I might have missed some and this is just my personal list of favourites.
I ended up applying for NTU, Norwich U of A, Plymouth, Lincoln and Arts Uni Bournemouth. I then changed Bournemouth to Northampton after going to an open day and not liking the look of the course. However, it is ranked as one of the best Arts Uni's in the country so it was just my personal opinion! Luckily I got offers for all the places and ended up choosing NTU as I felt it had the best reputation, incredible links to the industry, the Uni is absolutely beautiful, it's got one of the best SU's in the country and the course looked amazing and really varied and open so you can really do what YOU want to do!
Anyway, I've probably rambled on enough. Just want to quickly add that I was extremely impressed with Norwich Uni of the Arts, the only reason I didn't choose them was because 1. it is very far away from where I live and 2. they asked for BBB instead of a certain amount of UCAS points and I was expecting ABC and was unsure whether they would take me with that.
If you have any more questions I'd be happy to answer them! Sorry again for the essay!
Emily