Prokhorovka, about 80 kilometres north of Kursk near Belgorod, is the site of the decisive tank engagement of the 1943 battle and arguably the turning point of the Eastern Front. The memorial complex here is one of the most powerful WWII sites in Russia: a white stone rotunda inscribed with the names of units that fought there, a museum of actual tanks and vehicles recovered from the battlefield, and the Church of Saints Peter and Paul built as a memorial to those who died.
The drive from Kursk passes through rolling agricultural steppe that looks much as it did in 1943 — flat, open, and featureless in a way that makes you understand both why the armies fought here and how exposed the men in those tanks must have felt. The complex is open daily and takes half a day to visit properly. Combine it with a stop in Belgorod if you have time.