Just know that at many of the MK dining areas, especially Pinnochio's, a CM will guide you to a seat if you go when it's really busy. You can always ask for one of the coveted seats, though!
Chef Mickey's is a must do, so I'm glad it's on your list. We just returned from taking DS for his 3rd time. Even though he's now 6, he still LOVES it there. He actually gave me a hug while we were in line getting food and told me how much he likes going there.
Like Monty said, Le Cellier is awesome. Decent kids menu. Wonderful steaks. We had the best server we've ever had at the World there this weekend, too. So nice, so good. I mentioned that I was taking home the last pretzel breadstick, and she came back with three more breadsticks in tin foil, threw in the one on the table, and placed them all in a bag for us.
We do like Hollywood and Vine at the Studios, even though it gets so so remarks. We've always had decent food. I strongly recommend NOT going to Mama Melrose's. We had a terrible experience there last week - worst ever table service experience. For counter service, we actually ate twice last week at Pizza Planet b/c my son loves it. It's actually not bad. The first time, though I got a caprese salad, and it was very sub par.
At the MK, we enjoyed Liberty Tree Tavern. It's served family style. Very yummy. For counter service, we also like Pecos Bill's and Columbia Harbor House.
At Epcot, we had a good and different counter service experience at Sunshine Seasons in The Land. While they do have Asian food, they also have sandwiches, etc. We were trying to drastically minimize burgers and fries this time, and so this was a wonderful change.
You mention that you're not big on BBQ. Not 100% sure what you mean, as to me being a resident of western NC, BBQ is pulled pork BBQ served with sauce and a spicy slaw!! Even so, I still recommend Flaming Tree at Animal Kingdom. You don't have to get a rack of ribs. In fact, both DH and I got a BBQ chicken salad. It was a decent sized salad topped with chicken that had BBQ sauce on it. Not heavy in any way. We had some of the worst pizza ever at Pizzafari.