Revealing mistake: When Anna and Hans are dancing in front of the lighthouse, we don't see the shadow of the railing or the ground they're standing on.
Continuity mistake: When Anna and Kristoff fall off the cliff after being chased, they are still tied by the rope. When they land the rope is gone.
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.
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.
Revealing mistake: When Anna and Hans are dancing in the spotlight, their silhouettes should be casting shadows as well, but aren't.
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.
Suggested correction: Those were ice walls, not the pillars.
Even if that's the case, the mistake remains valid.
Revealing mistake: As Elsa sings "Let It Go" she pulls her hair into a long braid going down her back. She pulls it with her left hand from behind her to in front, but the end doesn't flip over her shoulder, she just pulls it straight through to the other side without going over the top. (00:34:10)
Continuity mistake: In the scene where Kristoff and Anna are riding on the sled, in the first shot of them in the sled, Anna's hair is behind her, flowing in the wind. In the next shot, her hair is in front of her, resting on her chest.
Continuity mistake: When Anna is singing "For The First Time In Forever", at one point she is walking along the railing of a bridge. As she is doing so, she passes a guy in a hat, holding his daughter. In the next shot, the guy and daughter completely disappear.
Continuity mistake: During the song "For The First Time in Forever", Anna runs into the gallery and a painting of a woman on a swing is seen to the right of the door. Later in the scene she is seen leaping off a teal-colored seat to make the same pose as the woman. This is impossible since we never see her cross in front of the door to get to this painting, which means she would have had to have jumped very far to get to the swing painting. (00:15:05)
Continuity mistake: Anna walks a few feet to put Olaf's head back the right way on his body. After she does this, she is back to the position she started in and Olaf has moved between Anna and Kristoff.
Continuity mistake: Just after Anna gets unfrozen and Elsa realizes love is the key to end the winter, Elsa starts to unfreeze everything. She is doing this in the middle of the lake. The ship they are standing on a shot later is not there when she starts unfreezing things. (01:28:00)
Other mistake: In the scene where Marshmallow is chasing the characters off the cliff, Olaf falls first, followed by Anna, then Kristoff last. At the bottom, Anna created a mound of snow where she fell, yet Kristoff managed to get underneath pristine snow, and Olaf.
Other mistake: When Elsa is about to get shot, Hans, from where he was, couldn't have possibly got to the guard in time.
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: In the shot where Anna and Kristoff gets a first glimpse of Elsa's castle, the camera starts from behind an exposed rock protrusion, but in the shot of the mountain before the song "Let it Go" starts there was none.
Continuity mistake: Towards the end of the scene where Hans is about to kill Elsa, the camera pans to a wide view of Anna standing on the ice on her own, Elsa and Hans are nowhere in view, yet a few seconds later as Hans brings his sword down on Elsa, Anna appears and parries the blow. In her fragile and barely able to walk state, there is no way Anna could have covered this distance in the time given.
Continuity mistake: The snow covering the mountain varies between shots of the first sighting of the ice castle and when Sven attempts to climb the stairs.
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.