The Beaux-Arts is one of the best art museums in France outside Paris. Housed in the east wing of the Palace of the Dukes, the collection runs from Egyptian and medieval art through Flemish and Italian Renaissance painting to a strong 19th- and 20th-century French collection — Manet, Monet, Courbet, Vuillard, and a quiet trove of works by the Dijon-born sculptor François Pompon, including his celebrated polar bear.
The unmissable rooms are the Salle des Gardes and the adjoining ducal chapel, where the tombs of Philip the Bold and John the Fearless dominate the space. Allow two to three hours. Admission is free, which makes it busier than it would otherwise be on weekends.