Staatliches Museum für Völkerkunde München (Ethnology Museum)

You could wander around this museum for hours looking at art and artefacts from diverse national groups from around the world. Permanent exhibits include the Native American hall that has the world's oldest preserved kayak, the Chinese rooms that have a larger than life Buddha and an entire section dedicated to African art. In addition to Indian shrines and Incan relics you can also visit the Ethiopian and Islamic exhibitions until the end of the year.