Housed in the baroque Lobkowitz palace (1694), this museum has a permanent exhibition devoted to Austrian composer Gustav Mahler (1860–1911) and temporary exhibitions on Vienna's theatre history. Since 2014, it has also displayed the collection from the Staatsoper's former museum with portraits of operatic greats, costumes, stage designs and documents spotlighting premieres and highlights like Herbert von Karajan’s eight-year reign as director. Opera lovers will enjoy the occasional gem, such as Dame Margot Fonteyn’s stub-toed ballet slipper.

A small room hidden towards the back of the 1st floor contains an ensemble of puppets from puppeteer Richard Teschner, vaguely reminiscent of Java’s wayang golek wooden puppets. Performances are listed on the website.