Since you're staying at the AKL, dinner at Boma and Jiko and breakfast at Boma are must do's.
Without knowing much about your family, food preferences, etc, I'd suggest trying a variety of places --- kitschy fun at Sci Fi Dine-In or 50's Prime Time Cafe - ethnic eats at Morocco, Germany, UK, heck even Irish Food at Raglan Road - and character breakfasts and dinners.
Does the Deluxe Dining Plan let you substitute some of the table service meals with counter services? As a prior poster suggested, if you try and eat sit-down meals morning, noon and night, you'll be worried about getting to your next meal all the time and not enjoy the parks as much. There are some excellent counter service options in the parks and even at some of the resorts.
Hope you have a great trip and enjoy the AKL It truly is a special place.