Monticello (Thomas Jefferson's house). I live about 30 minutes away from it and went there when my folks came to visit. It's awesome.
Devil's Tower in Wyoming.(Especially if you are a sci-fi fan)
Civil War battlefields. Not just the big ones like Gettysburg but smaller ones like what is left of the battlefield at Franklin Tenn.( A huge bloodbath of a battle that isn't as well know because it didnt involve Grant or Lee)
A state fair( any of them). For some kettle corn, funnel cake, and a look at young farm kids showing their animals.
Skyline Drive on the BlueRidge Parkway. (Along with the Appalachian Trail)