I live in Bochum and be original from Mainz close to Frankfurt i did study in different universities.
Answer first what you like to study. Be aware that bavaria and munich is a different country and not part of germany.
Realy tell us what you like to study first. Than you get better tips.
I did study fashion and industrial design in Berlin, medicine computer science in in cologne and medcine i did at least finish in Heidelberg Mannheim. But i know Tübingen, Mainz, Darmstadt, Regensburg, Nürnberg, Düsseldorf, Bielefeld and Achen universities also well.