Gila Cliff Dwellings National Monument.
http://www.nps.gov/gicl/index.htm And a great excuse to ryde the twisty NM 152 through the Gila Natl. Forest.
White Sands National Monument.
http://www.nps.gov/whsa/index.htm A great picnic n photo stop.
Carlsbad Caverns National Park.
http://www.nature.nps.gov/geology/parks/cave/index.cfm The July n August evening bat flights are amazing.
Sandia Peak Tramway.
http://www.sandiapeak.com/ The worlds longest tram.
Ruidoso Museum of the Horse.
http://www.hubbardmuseum.org/ Numerous sights in this area. The Downs horse racing, Capitan home of Smokey the bear, Lincoln County and its Billy the Kid history, Inn of the Mountain Gods Resort. Great riding in the cool pines of Southern NM.