If you've got a hankering for some intellectual stimulation, pay a visit to Museum of the History of Wittelsbach. Whether it's history, culture or traditions, you'll find plenty of fascinating displays to keep your mind active here.
When you've spent some time at this Schwangau collection of historical artifacts, why not check out Neuschwanstein Castle, Hohenschwangau Castle, and Forggensee? They're not very far from Museum of the History of Wittelsbach and also a hit with travelers.