We usually eat breakfast in the room, or occasionally go to the resort food court. We order items from Garden Grocer (cereal, milk, fruit, juice, pop tarts, pastries, protein bars, yogurt, etc.). One or two mornings, we go to the resort food court and get a heartier breakfast.
By eating breakfast in the room, we save both time and money. We like to get to the parks before rope drop and don't want to waste precious park time stopping for breakfast.
Oh, and once per trip, we do a breakfast buffet with a late seating (10:30 or so) and treat it as "brunch". That way, we maximize the shortest lines at park opening for the first couple of hours, and have a nice, leisurely sit-down meal.