Z Tejas in downtown Tempe has a decent brunch on Saturdays and Sundays with some southwestern-influenced breakfast items. If you like Bloody Marys, the $3 Bloody Mary bar (with any kind of vodka you want) is great.
Four Peaks also has brunch on Sundays.
The US Egg on Baseline near Mill is pretty decent standard breakfast fare.
131 E Baseline Rd, Tempe, AZ 85283
Four Peaks Brewing Co
1340 E 8th St, Tempe, AZ 85281
Z Tejas Grill
20 W 6th St, Tempe, AZ 85281