My list of places to visit on future LV trips:
In addition to Ash Meadows, other areas of interest in the Amargosa River area are Oasis Valley, Amargosa Canyon, and Shoshone/Tecopah
Muddy Mountains Wilderness Area
Buffington Pockets along the Bitter Springs Trail
Muddy River / Meadow Valley Wash
Lake Mead NRA's hikes feature a number of interesting-looking canyons.
Mojave National Preserve's Piute Gorge.
Earthworks artist Michael Heizer reportedly has threatened to shoot anyone who tries to visit his monumental City uninvited, but this piece, near Nellis' infamous "Area 51", sounds like the must-see sculptural descendant of Tikal and other ancient American sites.
Please share your experiences in these places or suggest additional locations for Future Expeditions by commenting to this page.
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The "Dunes" are more like badlands and the "Recreation Area" is a power toy playground.

Power Toy Tracks
Red Rock Canyon National Conservation Area is <1 hr. outside of Las Vegas. It features a scenic loop drive and hikes of various lengths and challenges.

View Coming Out of Icebox Canyon
Valley of Fire State Park is ~1 hr. outside of LV, with scenic drives and short hikes featuring unique scenery and native American petroglyphs. Popular Hollywood 'alien planet' landscape. Spectacular at sunrise/sunset.
Hoover Dam is worth a look if you're in that part of Lake Mead NRA. But be warned: the tourist traffic is heavy, the post-911 tour is minimal, and the declining lake doesn't produce the dynamic flow shown on the official site.

The River (Not So) Wild