Out of the listed options we've only tried:
Brown Derby: We liked it, but truth be told there wasn't anything that really blew us away. The theme isn't as outlandish, but it's still well done. Restaurants in the parks sometimes don't feel as 'fancy' as you sometimes wish they would, but this one does a good job here. The grapefruit cake was amazing awesome.
The Wave: We changed our plans mid-day and The Wave was a last-minute meal. It isn't a must-do now, but it we're definitely glad we tried it. We'd do it again for sure, especially as a fall-back option. The food was really good, but there's no signature dish. The quiet/mellow atmosphere is a nice break.
It sounds like you're looking for DHS-accessible options. You might want to try Beaches and Cream (Boardwalk area, accessible via boat from DHS) if you're ok with Burgers/Sandwiches and ice cream, it'll definitely be a hit with the kids.
If you're looking for more general hints: Boma is my number one suggestion when you're looking for something unique, but still kid-friendly. It's a buffet that has both safe and adventurous options. Plus, everyone loves going to view the savannah pre/post dinner.