Art of Pizza delivers. It's certainly a special-ish occasion to get deep dish, but it's definitely something people get decently often as a whole.

Nope, nope nope

The reason is that it seems the deep dish doesn't travel too well -- we get it delivered at work periodically, and the crust ends up getting a bit soggy. Also, although the deep dish may be a signature item for many pizza places, their "special" is almost always a cheese, sausage, mushroom, onion, and green pepper thin crust.