I recently visited Pizza Faith after finding out that they serve gluten free bases, as well as normal vegan bases/pizza. We went as a trio, one Vegan, one gluten free, and one carnivore. Cheeses can even come in milk and vegan form so it keeps everyone happy.
We were able to choose from various toppings and sides, many of which are vegan and gluten free, and they even do deserts and donuts.
Pizzas start from £5 where you can create your own, choose one from the menu. and you can also combine with a side and drink to create a meal deal.