I attended Coventry University, Studied Automotive Engineering Design between 2002-06.
The Campus is bang on city central with it's main admin building just opposite the cathedral steps, a mixture of old Polytechnic and modern university buildings. Personally I had a great time there and found Coventry to be an interesting, friendly... if not exactly pretty place to be. The City centre is almost entirely contained within the inner ring road, you simply cannot get lost.
The specialty of the University is it's Engineering Department with a very good Nursing school too. As for Criminology/Law.... yes they do them but if the reputation of the course is a key factor I would look elsewhere.