When Max is singing "After Today," he skateboards through someone's house. There is a baby in a high chair, and on the high chair is a picture of Mickey.
During the song "Be Our Guest," the dishes fall out of the cabinet and form classic Hidden Mickeys as the lyrics "Don't believe me, ask the dishes" play.
When Zazu is captured by monkeys during "I Just Can't Wait to Be King," one of the monkeys picks a cookie from Zazu. If you look at it sideways, it's a classic Mickey. (A red circle has been added to the photo.)
In Toy Story, about 59 minutes in, you see the movers moving boxes of Andy's toys out of the room. When the dolly leans back you can see Mickey's shadow on the wall and floor. When the dolly starts to move forward, Mickey's shadow moves and is gone when the mover and dolly leave the frame.