You may ask...
If you book your vacation through AAA (or CAA here in Canada) they include a "Storytime with a Disney Character". You don't find out who the character is until you get there.
It is an intimate small group (maybe 10 kids when we were there). You have to book your time in advance.
It was held in the building opposite City Hall on Main Street USA, I believe it is where they now have the Mickey and Princess Meet and Greets. I also believe they now host the Storytime at Epcot. But I may be wrong on both accounts.
Essentially the character reads a story. Then plays with the kids, then does a personal meet and greet with pics, and autographs.