A fascinating history of the town with great maps and well-preserved Bavarian artefacts. There is also a puppet museum on the top floor that is a little unsettling but unique and well worth seeing. When I was there it also had an exhibition about the Nazis, an admirable example of a city facing up to its unpleasant past. The museum is free on Sundays.
St-Jacobs-Platz 1, a short walk through the marketplace from Marienplatz.
www.stadtmuseum-online.de