I just spent a few days in Tucson. I can't remember the names of all of the places we ate, but a few stand out:
Casbah Tea House: Really great "vegeterannean" food as they call it in the window. Nice atmosphere with all kinds of options and great attention to detail as to where the food comes from and its quality. They also have a superb selection of loose teas. It's located on 4th Ave.
Zemams: Ethiopean cuisine that's quite good, but isn't exactly what I expect from Ethiopean food. I think I'm a bit spoiled when it comes to Ethiopean food. First, their menu is not easy to navigate unless you know what you're getting into. Usually Ethiopean restaurants will have a veg sampler plate and a meat sampler plate, but Zemam's only had a pick and choose 3 things sampler. In my experience, the sampler plates have 5+ different items on them, which I really love. If I ever go back, I'll take advantage of their $1.50 corkage fee and bring a bottle of wine. Seems to be a common thing to do there and would've added to the meal. Otherwise, I've been Ethiopean deprived and this was a good way to end that streak although of the other 2 Ethiopena restaurants I've been to in Baltimore and Paris, Zemam's is 3rd but it's still tasty and a rare thing.
2731 E Broadway Blvd, Tucson, AZ