Having done its duty by producing a wealth of what many consider the world's greatest wines, Burgundy—Bourgogne to the French—deserves to be rolled on the palate and savored like a glass filled with Clos de Vougeot. Surrounded by hedgerowed countryside, fabled vineyards, and magnificent Romanesque abbeys, all the sights here—from the medieval sanctuary of Cluny to the wine village of Beaune—invite the wanderer to tarry and partake of their mellow splendor. At the center of it all is Dijon, once ruled by dukes more powerful than kings, which retains something of the opulence it acquired in the late Middle Ages.