Casey's is sooooooooooooo good! Yummy corn dog nuggets. It's very cute and definitely a great place.
ABC commisionary at DHS has cheeseburgers (which could be made cheeseless) in the kid's menu
You didn't mention pizza, but Catalina Eddie's has kids pizza, and pizza planet of course.
In MK, at the Columbia Harbour House, they have a kid's salad with chicken, and macaroni and cheese.
At Cosmic Rays, according to allears.net, they only had salad with chicken, nuggets, and pbj for kid's meals.
Peco's bills had burgers and salads, for kids.
And pinocchio's has mac and cheese and pizza for kids.
I was assuming you were searching for the kid's meals, like you were on the
DDP, so there you go! If you need any more info, they have all the menus posted at the site I mentioned above, as well as wdwinfo.
Hope you enjoy!