Revealing mistake: After visiting the merchant, Kristoff's guitar has four strings, but only three tuning pegs.
Suggested correction: In the close up it shows when it does a close up of his face you can see that the string is tied where the peg would be.
Continuity mistake: In "Let it Go", after Elsa releases her cloak, an overhead shot shows she's about 30 feet short of a gap, walking forwards, on a flat expanse of snow. She then keeps moving towards it while singing in closeup (which would have taken her right up to the edge). She then runs forwards in a wide shot, but instead of falling off the edge she should be right next to, she runs up over a hill that appears from nowhere, before she creates the steps to bridge the gap.
Suggested correction: If you watch closely as Elsa is walking backwards she has turned on a slight angle is now walking at an angle to the gap. She then turns round and increases this angle. Not by much but it's enough that she is now walking/running at approx a 40-45 degree angle and she disappears out of shot. We then see her approach a lip of snow (the camera is below Elsa) and form the ice staircase over the gap we originally see.
I see what you mean. Good use of words. They were very scientific.
Other mistake: Anna is shown from the front as she ascends an ice staircase inside Elsa's ice castle. There are giant ice pillars to Anna's right and left. They should reflect the side of her face, but instead the reflections show her face from the front.
Suggested correction: That's not how reflections work. The ice walls are about two feet to her side so the reflection would look like it was shot from the front but about 4 feet to the side.
Continuity mistake: Just before the end Olaf gets his own personal fluff (a snow cloud). In the scene on the ice in the courtyard following that, the snow cloud is not there.
Suggested correction: It's above him only when it's warm around and he is in danger of melting, but not when it's cold, and it was definitely cold in that skating scene.