Berlin's only surviving baroque palace, on a little island just south of the Altstadt, houses a branch of the Kunstgewerbemuseum (Museum of Decorative Arts). It's a rich and eclectic collection of furniture, tapestries, porcelain, silverware, glass and other frilly objects from the Renaissance, baroque and rococo periods. Highlights include four lavishly panelled rooms and the stunning Wappensaal (Coat of Arms Hall).
It was in this very hall where, in 1730, a military court sentenced Crown Prince Friedrich (the later Frederick the Great) and his friend Hans Katte to death for attempted desertion. The future king was eventually spared but forced by his father, the 'Soldier King', to watch his friend's beheading. Tram 62 will take you there from S-Bahn station Köpenick.