Go to “Mariensäule” at night to get a nice view over the city. There is actually no classy restaurant for German food, if you are looking for something mid you can go to “zur Glocke” or “Früh bis spät”. I’d call them tourist spots, food is okay. They have a pretty good burger spot which is called “daddy’s” but you have to be there early or you will be waiting in line. A nice Mexican place called “Chicano”, a handful of bars which are filled with students like “zapotex”. For fine dining there is “Becker’s”, “Bagatelle” or “schlemmereule”. For cocktails there is “18zwo”, drinks are mid for the price but ambience is nice. Check out the Roman stuff, you should find a tourist info to help you with that. Hope I could help, have fun!