Arches National Park (near Moab) is an area with many rock-formations with some in the shape of an arch (curved with hollow space). Quite pictoresques. Arches N.P. is close to the village of Moab, a starting point for different adventures...
The Grand Canyon is really grand. When standing on the ridge of the canyon and looking 1 mile (1600m) down to the river Colorado that created all this, you do owe the river a lot of respect. It is possible to walk all the way down and back up in a day, what can be recommended.
Grand Teton National Park is a great park not far from Yellowstone with similar wildlife, but without the geothermical experience.
Monument Valley is a desert with few small, steep rock formations in the shape of monuments. The area is a "classic" and a must-do in the Western USA. Of course it is featured in many movies...
Mount Rushmore National Memorial is centered on a colossal sculpture carved into the granite face of Mount Rushmore in the Black Hills, South Dakota. The sculpture features the heads of Presidents George Washington, Thomas Jefferson, Theodore Roosevelt and Abraham Lincoln.
San Francisco is a favourite city for so many: Americans, Tourists and Homeless. The climate is just perfect for almost anything including growing wine (Napa valley) or computer (Silicon Valley). Tourist will enjoy the local cable train, Alcatraz prison and The Golden Gate bridge.
The Yellowstone is the oldest National Park in the USA and hosts a wide variety of animal life (incl. bears and buffalo) and vegetation. The natural beauty will make quite an impression. Beneath the Yellowstone there is volcanic activity that causes many hot pools and geysers ("Old Faithful").
Bryce Canyon National Park is a national park located in southwestern Utah. The major feature of the park is Bryce Canyon, which is a collection of giant natural amphitheaters.