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Red Rocks Park and Amphitheatre lies near Morrison, southwest of Denver, in a park owned by the City of Denver. The open-air amphitheatre, built by the Civilian Conservation Corps to a design by Burnham Hoyt and opened in 1941, sits between two sandstone monoliths, Ship Rock and Creation Rock. On days without concerts visitors walk the seating, trails and visitor centre.

Antelope Canyon is a slot canyon on Navajo Nation land just east of Page, cut into Navajo Sandstone by flash floods into narrow, curving passages. It has two sections, Upper Antelope Canyon, walked at ground level, and Lower Antelope Canyon, reached by steep stairs. Both lie in the Lake Powell Navajo Tribal Park and can be visited only on tours with licensed Navajo guides.

Glen Canyon Dam is a concrete arch dam on the Colorado River at Page, built between 1956 and 1966 to create Lake Powell. It stands 216 metres high; the steel arch of the Glen Canyon Dam Bridge, opened in 1959, crosses the canyon just downstream. The Carl Hayden Visitor Center on the west side has exhibits and is the starting point of guided tours of the dam.

Lake Powell is the reservoir formed on the Colorado River by the Glen Canyon Dam, filling from 1963 and stretching about 300 km into southern Utah. Its flooded side canyons and sandstone cliffs lie within Glen Canyon National Recreation Area. From Wahweap Marina near Page, boats, kayaks and houseboats go out on the water, and boat tours reach Rainbow Bridge.

Horseshoe Bend is a horseshoe-shaped meander of the Colorado River about 8 km downstream from the Glen Canyon Dam, south of Page. From a car park on US Route 89, a path of about 1.2 km leads to an overlook with a railing on the rim, some 300 metres above the river, where it loops almost completely around a sandstone spur.

The ruins of an ancient city about 40 km north-east of Mexico City, one of the largest in the Americas in the first centuries AD. The Avenue of the Dead runs past the Pyramid of the Sun to the Pyramid of the Moon, with the Temple of the Feathered Serpent in the Ciudadela and palaces with painted walls.

The Desert View Watchtower is a stone tower 21 metres tall at the eastern end of the South Rim, about 40 km east of Grand Canyon Village. Mary Colter designed it in 1932 after ancestral Puebloan towers; murals by the Hopi artist Fred Kabotie decorate the inside, and the upper floors look over the canyon, the Colorado River and the Painted Desert.

Mather Point is a viewpoint on a rocky promontory of the South Rim, a short walk from the Grand Canyon Visitor Center and usually the first view of the canyon for visitors arriving from the south entrance. Railed terraces reach out over the drop, looking across to the North Rim. It is named after Stephen Mather, the first director of the National Park Service.

The Yavapai Museum of Geology stands on the rim at Yavapai Point, east of Grand Canyon Village. The stone building, designed by Herbert Maier and opened in 1928, was sited by geologists for studying the canyon's rock layers. Large windows frame the view, and exhibits and a relief model explain how the canyon formed; rangers give geology talks.

Grand Canyon National Park, established in 1919 and a World Heritage Site since 1979, protects the gorge the Colorado River has cut through northern Arizona: about 446 km long and up to 1.8 km deep. The South Rim, open all year, has Grand Canyon Village, a paved Rim Trail, shuttle buses and a chain of viewpoints along Hermit Road and Desert View Drive.

Hopi House is a building in the form of a Hopi pueblo, opposite El Tovar Hotel on the South Rim in Grand Canyon Village. Mary Colter designed it for the Fred Harvey Company, and Hopi builders raised it in 1905 from local stone and timber, modelled on the village of Old Oraibi. It has always sold Native American arts and crafts, as it still does today.

Lookout Studio is a stone building that Mary Colter designed in 1914 on the edge of the South Rim, west of Bright Angel Lodge in Grand Canyon Village. Built of local limestone so that it seems to grow out of the cliff, it served as a photographic studio and viewpoint; today it is a gift shop with terraces and telescopes facing the canyon.

Kolb Studio is the wooden house and photography studio that the brothers Emery and Ellsworth Kolb built from 1904 on the rim at the head of the Bright Angel Trail, in Grand Canyon Village. They photographed mule riders setting off down the trail and filmed their 1911 boat journey down the Colorado. The restored building holds art and history exhibitions and a bookshop.

The Bright Angel Trail descends from the South Rim at Grand Canyon Village towards the Colorado River, following a natural break in the cliffs once used by the Havasupai. Switchbacks pass rest houses at 1.5 and 3 miles and reach Havasupai Gardens after about 7 km and 930 metres of descent; most day hikers turn back well before that.

The shrine at the foot of Tepeyac hill where, by tradition, the Virgin appeared to Juan Diego in 1531. The round basilica by Pedro Ramírez Vázquez, consecrated in 1976, holds the cloak bearing her image; beside it stand the old basilica of 1709, chapels and a path up the hill.

Slide Rock State Park lies in Oak Creek Canyon about 11 km north of Sedona. Its centre is a natural water slide: a stretch of creek about 25 metres long running down a smooth, slippery channel in the red sandstone bed, used for swimming in summer. The park also preserves the Pendley homestead, an early 20th-century apple farm with orchards.

A former Jesuit college in the historic centre, rebuilt in the early 18th century around three courtyards and later the National Preparatory School. Its walls carry the first murals of the Mexican muralist movement, by José Clemente Orozco, Diego Rivera, David Alfaro Siqueiros and others; it is now a museum with exhibitions.

The excavated remains of the main temple of Tenochtitlan, the Mexica capital, beside the Zócalo, dedicated to Huitzilopochtli and Tlaloc. Walkways cross the layers of the twin pyramid, rebuilt seven times, and the site museum holds the finds, including the Coyolxauhqui stone found here in 1978.

A square north of the Palacio de Bellas Artes where mariachi bands in charro suits gather, above all in the evening, and play songs on request. Cantinas and restaurants line it, and the Museum of Tequila and Mezcal stands on one side.

A museum on Plaza Garibaldi, opened in 2010, on the history and making of tequila and mezcal, from the agave fields to distillation. Its rooms show tools, bottles and labels, and the visit ends with a tasting; the roof terrace looks over the square where mariachi bands play.