There are some great counter service places where you can get awesome meals.
MK-Pecos Bill, Columbia Harbor House, Cosmic Ray's
Epcot-Sunshine Seasons, Cantina (in Mexico)
AK-Flame Tree
DHS-Toy Story Pizza Planet
DTD-Earl of Sandwich
These are all places I've been and have firsthand knowledge of. I recommend any of them. If you want to see what they offer, check out the menus at allears.net. They update them regularly and you can get an idea of which places your family would like.