This museum is a fascinating romp through ancient and modern art, history and archaeology. Standouts include the 20th-century Kurt Fried Collection, starring Klee, Picasso and Lichtenstein works shown in rotating exhibitions. Archaeological highlights are tiny Upper Palaeolithic figurines unearthed in caves in the Swabian Alps, including the 30,000-year-old ivory Löwenmensch (lion man), the world’s oldest zoomorphic sculpture. There's free entry on the first Friday of the month.