You can eat pretty much anywhere, though some places may not have areas large enough for everyone to sit at the same table. On our recent trip (summer 2007) we had a group of 20. We made ADRs well in advance and ate at these table-service restaurants with the entire group (at the same table):
Chef Mickey
'Ohana
Boma
Le Cellier
Note that if there are children in your group who get impatient waiting for their meals, buffets might be a better idea since you can get food almost immediately.