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.
Continuity mistake: Outside the trading post, there's no evidence of wind or storms. When both Anna and Kristoff enter, we hear wind blowing, and it's even strong enough to slam the door shut both times.
Continuity mistake: When Sven and Kristoff are leaving Arendell, Sven looks back wistfully to the city, but it's not in the distance where it should be. We can also see their footprints left clearly in the snow - it's not snowing much. When Kristoff then runs back, Arendell has suddenly reappeared, and there's no sign of their footprints. It also takes him far longer to get back to the city than it took him to leave.
Continuity mistake: When Anna, Sven, and Kristoff are being chased by wolves and Kristoff is hanging onto the sled by only a rope, Anna sets fire to his sleeping bag with a torch and throws the torch onto the ground. In the next shot, the torch is nowhere to be seen. Handy, because if it hadn't disappeared the sled would have caught on fire too.
Other mistake: When Anna's horse gets scared and runs off, Anna falls into a stream and gets soaked. Trouble is, everything else in the kingdom is frozen solid - the sea, waterfalls, etc. - there's no way that stream would still be liquid.
Continuity mistake: When Anna enters the ice palace and slips, she's well short of the staircase. We cut to a front shot and she's suddenly right at the foot of the stairs.
Continuity mistake: After Marshmallow knocks the guards into the snow bank, the one on the left has nothing by his hand. We cut away, cut back, and there's suddenly a crossbow bolt under his hand which he grabs before giving chase.
Continuity mistake: Kristoff asks Anna "didn't your parents ever warn you about strangers?" and she edges over in the sled. Shortly afterwards she's suddenly back where she was.