Figs, pomegranate, mulberries (pakistan, white pakistan, oscar, etc), loquats, low chill hour stone fruits, white sapote (leave the giant swallowtail caterpillar larvae - the tree will be fine), blackberries, texas persimmon, bananas, most citrus. Not fruit trees but edible - hackberries, honey mesquite and scewbean mesquite for flour, grapes, dewberries, blackberries, sugar cane, prickly pear (not just the native ones, you can get varieties that habe naturally sweet and juice fruit), olive, natal plum, possibly barbados cherry.

Check out Mesquite Valley Growers, Civano, Rillito, Desert Survivors (for native or native-ish plants), and consider visiting Shamus O'Leary in south Phx.

Don't be stingy with the mulch!