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.
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...
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.
Glacier National Park is an American national park on the Canada–United States border, adjacent to Waterton Lakes National Park in Canada. The park encompasses more than 4,000 km2 and includes mountains, more than 130 lakes, various plants and hundreds of species of animals.
Grand Teton National Park is a great park not far from Yellowstone with similar wildlife, but without the geothermical experience.
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").
Zion National Park is one of the great national parks in Western USA featuring geological wonders, basins, rivers and walking ways.
Charleston (South Carolina) has a long history that is reflected in the colonial buildings. Long it has been one of the major cities in the USA. Nowadays it is a real pleasant city.