The Château de Pommard is a great visit. Just south of Beaune. You can also purchase future wine and they will store it for you in their cave til you are ready to pick it up. They also host art exhibits (Botero, Picasso, etc.) and have a nice restaurant.
http://www.chateaudepommard.com/en/
But there are dozens of other great castles within a short drive from Beaune. And a whole lot more in the rest of Burgundy. I've been to a couple dozen or so.
https://fr.wikipedia.org/wiki/Liste_...x_de_Bourgogne
Château de Savigny-lès-Beaune is my favorite and a must if you like race cars, fighter jets, and all types of motorized vehicles.
In southern Burgundy, the Château de Cormatin is one of the wealthiest castles in the region. Versailles like.