If museums are on your list of things to see, you might want to browse the collections at Hospices de Beaune in Beaune City Centre. If you want to see more of the museums in Beaune, you can easily walk to Burgundy Wine Museum or Museum of Fine Arts.
You can enjoy a tasting or tour at Marche Aux Vins Winery during your travels to Beaune. While in this quaint area, you can savor the wineries.