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Photo: Janericloebe, CC BY 3.0 via Wikimedia Commons
Built to supply the fountains within Schlossgarten and Orangerie. In the days of black pedagogics, it also housed the Karzer of the University where students who had broken one of the myriad rules were thrown. Ultimately it became a badge of honor for every student to have at least one Karzer sentence to their name and they tried to "leave their mark" on the walls (despite that of course also being against the rules).
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During the opening there is also an open air ice rink on the other half of the square (Marktplatz).
A place to get to know doers, explore and make. This place blends arts, crafts and high tech, and is something between a makerspace and project space. There are different groups who meet at different times to do all sorts of tinkering - whether it be repairing electric appliances or testing the scale model of the next world changing invention. The Friday evening date given in the opening hours is the "open door" where everybody can come and join without any membership, entrance fee or pre-registration required. Other regular events are open to the general public to various extents, too. Check the website for details. Given the nature of the place, you're almost guaranteed to find one or several people fluent in English and/or other foreign languages, so the language barrier shouldn't be an issue. The name is a hard to translate pun of sorts - "zam" is a frequent Franconian shortening of "zusammen" (~ together) but it is also supposed to stand as an acronym for "Zentrum für ausprobieren und mitmachen“ - centre for trying out and joining in.
One of the 3 stages of the Stadttheater, which is the oldest Baroque theatre in Southern Germany - built in 1719. It is worth visiting, even if you don't understand German at all. Some plays and performances are held in the other locations. Given Germany's propensity to subsidise "high culture", tickets are very affordable indeed.
Gallery of the local art association mostly showcasing exhibitions of local art.