The oldest military academy in the country has occupied this scenic bend on the western banks of the Hudson River since 1802. Officially, it’s a military post, but most visitors come to tour the prestigious school — Robert E. Lee, George Patton, and Dwight Eisenhower are just a few of the prestigious alumni — or watch a football game at one of the best-known playing fields in the country, Michie Stadium. Guided bus tours leave from the visitors center.