All resorts have a quick service option that serves breakfast. The deluxes do not have food courts, they're more likely to have a kind of cafe setup.
I know about Main Street Bakery in AK, I understand there's another place with breakfast. At Epcot your only option is Sunshine Seasons. AK has Kusafiri coffeeshop and breakfast served at Pizzafari. Not sure where is the best place at DHS.