Huangshan, known as 'the loveliest mountain of China', was acclaimed through art and literature during a good part of Chinese history (e.g. the Shanshui 'mountain and water' style of the mid-16th century). One of 41 World Heritage Sites in China!
Mesa Verde National Park is a U.S. National Park created in 1906 by President Theodore Roosevelt in order to protect some of the best-preserved cliff dwellings in the world. Inscribed in 1978, it is one of the 21 UNESCO World Heritage Sites in the United States.
Nothing like sitting in your swimsuit in the middle of a snowstorm. It's near the airport, so it's great to do in the morning before your afternoon flight back to the US.