I've read nothing but rave reviews about the pizzas from this restaurant. They have a vegetarian menu with several specialty pizza options, all of which (except for the garlic mashed potato pizza) can be made vegan upon request. In addition to cheese-free, they offer a vegan / dairy-free soy-based cheese alternative. This opens up the dairy-free field for non-vegans also.
They have a full menu with other great options (even the focaccia can be made vegan!), happy hour, and the downtown location serves late-night crowds.
Location & Phone: Several locations in the Minneapolis area, see their website for details.