This has been a helpful thread! My kids haven't met a burger or chicken nugget that they would even touch (and I'm definitely ok with that), and we typically visit DLR, which has better options (JMO). But people have mentioned quite a few options here, although I'm curious about anymore CS options as we don't do a lot of TS.
Ask and you shall receive:
Mr. Kamal -falafel sandwich
Restaurantosaurus - turkey wrap sandwich
Backlot Express - grilled vegetable sandwich
Min & Bill - pork shank, turkey leg [no kids menu listed, should be available]
Electric Umbrella - vegetable flatbread
Sunshine Seasons - caesar salad with chicken, mongolian beef, chicken leg and salmon
Lotus Blossom Cafe - sweet and sour chicken
Boulangerie les Halles - no kid menu listed, should be able to get some interesting options
Sommerfest - no listed kids menu, should be able to get the wurst [currywurst is awesome]
Kabuki Cafe - has sushi as a snack option. Not really a *kid* menu, but they get snacks too and it would open up your options even more to burn a snack here as a light [or heavier if you use more than one. Added bonus, no need to go looking for rice crispie bars to send home to burn snack credits]
Tortuga Tavern - cheese quesadilla
BOG - slow cooked pork
Diamond Horseshoe - Pork Brisket Sandwich, Turkey Sandwich
Columbia Harbor House - Tuna Sandwich [cut like Mickey!]
All Star/POP/AoA Food Courst - multiple options
Mara - Green Salad with Chicken
Boardwalk Bakery - Ham and Cheese Sandwich, Turkey Sandwich
Old Port Royale - Mojo Pork, Salmon, Roast Turkey
Pepper Market - nachos, quesadilla
Gasparilla Grill - vegetable wrap
Sassagoula Floatworks - BBQ Ribs, fish sandwich, pot roast
Riverside Mill -sliced beef/ham/turkey, tuna sandwich
The Smoke House - Pulled Park Sliders
Hope that helps! Have fun...