Off the top of my head in no particular order, here are the ones I can think of. Also you will only see 1 character meal because it is about much more than the characters.
'Ohanas...they really make the kids part of the fun and games.
50's Prime Time...if your kids are hams they will play along with them.
Pizza Planet ... The food is nothing special, but the arcade gives the kids plenty to do while Mom and Dad take a break.
Whispering Canyon... This place is tailored around the total kid experience. Adults are best to check their ages at the door and enjoy the party.
Coral Reef... the full size wall to wall fish tank will keep kids of all ages entertained for hours.
T-Rex and Rainforest Cafe... Owned by the same company and filled with eye candy and animatronics to amuse and amaze kids everywhere.
Cinderella's Royal Table... Yes, this is a character meal, but the star is really the castle dining room's gothic decor. It will make all feel like a prince or princess.
Biergarten... The kids love to dance to the oompa music and at Christmas the shows add a special kids part.
Teppan Edo... Kids love to much the Japanese masters at work.
Really, there are more places that are tailored to the kid experience than not. Have fun!