Hi Allison! Wow what a great group you have going to Walt Disney World in June! I am sure you are all very excited and enjoying the planning process!
Apparently your dad loves his good burgers so I will suggest a table service lunch at each theme park that has that as a choice on their menu!
Magic Kingdom: Liberty Tree Tavern and Plaza Restaurant (love their sundaes here too)
EPCOT: Le Cellier restaurant in Canada
Hollywood Studios: Sci Fi Dine In Theater
Animal Kingdom: Rainforest Cafe
Those would be my choices for each park as you did not mention which park you were planning to visit or maybe you haven't made that decision yet. You can see sample menus for these and all other restaurants by going to
www.allears.net and typing MENUS in the top search box.
Also don't forget to surprise your dad with a birthday cake! You can ask the restaurant when you check in for their standard vanilla or chocolate small cake or you can pre plan and arrange a special custom cake to be delivered to the restaurant of your choice on his birthday. You can do this by calling the cake hotline, 407-827-2253.
Have fun and enjoy this wonderful trip together!