We have always gone with young kids, and our favorite is the Garden Grill in Epcot. It is a character meal with the classics Pluto, Chip and Dale, and Mickey. The character interaction is great because it is not a huge restaurant so the characters aren't rushing to get to all the tables. We like it because the booths are really high and don't face other tables, so you feel secluded and like you aren't bothering anyone around you. The restaurant also spins above the Living with the Land ride, so there is a change of scenery through out the meal. My kids like looking at the Living with the Land ride from above. Here are some pics from our trip in May of 2009.
Notice the height of the booth so that your children do not bother others around you.
bread
salad
adult food, although the fish is different now. and I don't think you can tell by looking at the pic, but there is potatoes and vegetables under the meats.
kids food.
I don't have any pictures of the desserts, but the food is really good. It is fresh from the Living with the Land ride. The food is also as much as you want. So if you want more of something, they will bring it out.
Here is a pic of my kids with Chip.
and here you can see that the background is changing as we are moving.
Kids with Mickey.
Again, one of our must do's on all our trips.