Locations where it won't matter (because kids and adults have the same, albeit limited, menu):
MK - Casey's; hot dogs
MK - Lunching Pad in Tomorrowland; also hot dogs
MK - Friar's Nook in Fantasyland; variations on a theme of mac and cheese
MK - Golden Oak in Frontierland; bizarre renditions of topped waffle fries
Epcot - Katsura Grill in Japan; Japanese noodles, sushi, etc
Epcot - Yorkshire County in UK; fish & chips
Epcot - Boulangerie in France; quiche, sandwiches, etc
Epcot - Sommerfest in Germany; various wursts
DHS - Min & Bill's Dockside Diner; sausages, turkey legs, etc
Locations that offer hamburgers or cheeseburgers as kids meal options:
AK - Restaurantosaurus
Epcot - Electric Umbrella in Future World
Epcot - Liberty Inn in America
Epcot - Tangierine Café in Morocco
MK - Pecos Bills in Frontierland
DHS - ABC Commissary
Locations that offer something other than pizza, turkey sandwich/wrap, chicken nuggets, and/or pb&j for kids meal options:
AK
Local Food Café (Yak and Yeti QS) - sweet & sour chicken
Flame Tree Barbecue - hot dog; chicken sandwich; barbecue chicken leg
Epcot
Sunshine Seasons - chicken Caesar salad; Mongolian beef; pepperoni Panini; grilled salmon; rotisserie chicken leg
Lotus Blossom in China - sweet & sour chicken
Liberty Inn in America - pasta marinara; grilled chicken breast
Cantina San Angelo in Mexico - empanadas
MK
Colubmia Harbor House - tuna sandwich; salad with chicken; fried chicken & fish platter
DHS
Pizza Planet (oddly enough
) - chicken sub
Backlot Express - grilled veggie sandwich