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Photo: National Park Service, Public domain via Wikimedia Commons
For the more serious fossil bed hunter (see Floyd Lamb below for more accessible viewings).
Tule Springs Fossil Beds National Monument, a United States National Monument near Las Vegas, Clark County, Nevada, was established in 2014 to protect Ice Age paleontological discoveries. The 22,650-acre (9,170 ha) monument is administered by the National Park Service.
© OpenStreetMap contributors
Though not regularly visited, this is actually the largest national wildlife refuge in the lower 48 states. Coincidentally, it overlies part of the Nevada Test Site, so you can't just wander too willy-nilly, although the latter is quite distant. But this refuge's visitor center and trails will introduce you to aspects of the Mojave Desert ecosystem that are framed by some rather tall desert peaks, with a chance to see bighorn sheep and other species and even a yucca forest if you hike far enough.
Skate and BMX park, sports fields and dog park. Includes the AMP, an outdoor amphitheater/ concert venue.
If time permits, and you don't mind watching a movie on your vacation, consider a visit to West Wind Drive-in; especially if visiting from out of the country where drive-ins are infrequent. And for an added bonus; it's normally a double-feature, so you get two movies for the price of one.