These are the top attractions in the Tucson area and Southern Arizona:

Arizona Sonora Desert Museum - world class zoo and botanical garden

Saguaro National Park - 2 units one on each far east/west side of Tucson

Mount Lemmon and Santa Catalina Mountains - incredible views of the desert below and other mountain ranges; one of the most accessible places to get on top of a mountain range by car; also home of the UofArizona Sky Center observatory program

Sabino Canyon - ride a tram or hike in a desert riparian canyon with permanent water

Misión San Xavier del Bac - perhaps the most beautiful Spanish mission in the Americas

Kitt Peak National Observatory - day and night tours at a mountaintop observatory, 1.5 hours west of Tucson

Madera Canyon - favorite year-round hiking and birding an hour from downtown Tucson

Tubac - artist colony and historic town an hour south of Tucson

Tumacacori National Monument - restored and preserved Spanish mission complex near Tubac

Kartchner Caverns - one of top 10 wet caves in the world, 40 minutes from Tucson at Benson AZ

Tombstone and Bisbee - what the Old West was like, 1.5-2 hours from Tucson

Chiracahua National Monument and Chiracahua Mountains - unique rock formations in a desert  "sky island"

Arizona's Wine Region - southeast to Sonoita; about a dozen wineries to visit

Nature Conservancy Patagonia-Sonoita Creek Preserve - great birding and natural riparian area 2 hours from Tucson

MORE! See this blog by a great contributor to TA.