Being vegan in Tempe is easy...even if you don't like to cook. Here are a few places I have been with vegan options:
1. La Bocca Wine Bar
2. Sushi 101
3. Blue Nile Cafe
4. Tsom
5. Dheli Palace
6. Oreganos
7. Cheba Hut
8. Center Bistro
9. Chronic Taco
10. Pita Pit
Some places require you to modify items, however, most are available vegan on the menu. All of the above have been very friendly and helpful recommending me items and modifications. ...and they are all relatively cheap.