The Badlands in South Dakota (also see Mt. Rushmore and Crazy Horse)
Grand Canyon
California Hwy 1 (with stops at the John Muir Redwood Forest and Sequoia National Park)
New York
San Francisco
Gateway Arch here in St. Louis (we also have the largest free zoo in the country)
Washington D.C. (the Smithsonian will require at least a week to see everything)

Always remember to be yourself. Unless you suck. Then pretend to be someone else.