Other mistake: Rapunzel's hair is somehow attached to the top of a tree and she is suspended off the ground, swinging in circles around the tree. However, her position relative to the ground does not change. As she repeatedly swings around the tree, she should be getting further above the ground. Also, her hair inexplicably never gets caught or snagged in the branches of the tree.
Continuity mistake: Just before Flynn cuts off Rapunzel's hair, there is a shot from behind him and he reaches up with his right hand to push her hair behind her ear. His arm is visible up to his forearm and the shackle is nowhere in sight. However, in the next, wide shot, the shackle is suddenly up around his wrist. (01:01:20)virtual-toast
Trivia: All of the creatures in baby Rapunzel's mobile are referenced later in the movie. The blue bird is the first creature she encounters after leaving the tower (it flies around her head when she sings "completely free"). There is also a white horse (Maximus), a chameleon (Pascal), a yellow duck (The Snuggly Duckling), and a cherub (the old man who dresses like an angel in "I've got a Dream").