I must agree -- Chef Mickey's for the Fab Five characters and Crystal Palace (if it's reopened) for the Pooh characters are the best character meals on property.
We did Tony's on our last trip to see Pooh and the gang -- the food was very good, but the choices are slim, so I'd check the menu first. We also love Liberty Tree Tavern for dinner -- it's basically Thanksgiving type food and the Fab Five are dressed in Americana costumes. We wore our red, white and blue Mickey t-shirts last time for some cute pictures. I've heard fantastic things about The Garden Grille in The Land in Epcot -- especially that the food is VERY good and kids get lots of attention from Mickey, Chip and Dale because the restaurant is smaller and not usually overly crowded -- but we haven't been there yet.
A great site for menus is the WDW Information Guide --
http://www.wdwig.com/menu/menus.htm.
They also have a great section on character dining --
http://www.wdwig.com/cb.htm
Some of our other favorite kid-friendly non-character meals are:
* Ohana's -- family style restaurant with roasted meats presented on huge skewers which made our nephew's eyes bug out and the "host" sings songs and plays games with the kids.
* Mitsukoshi Teppanyaki -- Hibachi-style Japanese. The food is simple enough that our three nephews and niece always have plenty of choice and they love watching the crazy chefs make flaming volcanoes and throw around shrimptails.
* Whispering Canyon Cafe -- Great anytime of day. The waiters and waitresses are quite playful and really fun -- no real script, just craziness whenever the want! There are usually some fun activities for kids here and there. Be sure to ask for ketchup but make room on the table first.
Happy planning!