• Citrus (lemons, oranges, grapefruits)
• Olives
• Dates
• Tomatoes
• Grapes
• Figs
• onions
• garlic
• potatoes
• tomatoes,
• sweet corn,
• squash,
• gourds,
• eggplant,
• sweet or bell peppers,
• chili peppers
• melons
• basil.
• eggplants
• apricot,
• elderberry
• peach,
• pear,
• pecan,
• persimmon,
• pistachio,
• plum,
• pomegranate
• guava,
• pineapple guava,
• natal plum,
• loquat (Japanese medlar),
• jaboticaba.
• Figs
• Nectarines

Note:

I live in the Lower Sonoran Desert (Coachella Valley) in Palm Springs, California. Temperatures are similar (up to 127 in the summer).

The local water district publishes a popular book of what can be grown in the desert.
http://www.cvwd.org/conservation/lush_book/

Direct pdf link: http://www.cvwd.org/conservation/lush/lush_efficient.pdf

• Page 145-147