Thanks to Go Dairy Free viewer Matt for recommending Loving Hut, an all-vegan restaurant chain. They are perhaps the largest vegan chain with locations throughout the U.S. (around 40 restaurants) and worldwide (Canada, Europe, Asia, South America, Central America, Africa, and Australia).
Every Loving Hut location has it’s own hours and menus, so you have to select your location on their website (below) for details. Several do have their menus uploaded to view, but in general, the cuisine has a focus on fresh and local with some comfort food twists. In the U.S., they offer appetizers, salads, burgers, sandwiches, pizzas, pastas, other entrees, smoothies, an array of hot and cold beverages, and desserts (cakes, pastries and even ice cream!).
Though Loving Hut isn’t an exclusively gluten-free restaurant, they do have many gluten-free offerings, which seem to be labeled on their menus. They also use mostly organic ingredients, including organic soy for many of their higher-protein dishes.