I don't know if this is too late...I live here but I hate it.
Beyond Green/Nami (and seriously get the Big Wac w extra sauce fo yo fries @ Green)
Go to Pomegranate Cafe in Ahwatukee, 24 Carrots in Tempe (have not yet been, sounds great!), Aside of Heart in Phx (look up info, twitter, they don't seem to hold consistent hours, but are worth it if available), and Pizza Heaven- a mom and pop kinda place w a specific vegan menu- my whole (non-veg) fam loved & I love to recommend them.
Oh also Desert Roots Kitchen by ASU & Persian Garden on West side (get the vegan cheesecake!)