In DTD is Napolini Pizzaria that have individual pizzas. Taquiria at Tortilla Joe's has burritos, etc. Plus there are a many other take out places in DTD to get food and a little bit of Disney before your days in the parks.
Napolini in Downtown Disney. Take-out, not delivery, but the pizza is outstanding and the prices are a lot more reasonable than a lot of other DTD restaurants.
Domino's Pizza also deliver to the hotels too, as we found during our last trip to Anaheim. We'll probably use them again, we were able to order and pay via their website and get delivery within the hour or so direct to our room.
Just to update on this- I went to Marris! I called directly and they delivered pretty quickly. They were great and the portion was so huge! I have been eating cold pizza when I get back from the parks and it’s great cold too! Haha! Thanks for all your help!