Corrected entry: Roughly halfway through the Marshmallow chase scene, Anna releases a bent tree to hit the monster. The tree is seen to have snow on top. Snow does not bend trees like that. Fair enough that the wind might have blown it over, but the snow wouldn't have hardened fast enough to make the bending permanent. Besides, if that was the case, then all the trees would be bent.
Corrected entry: In the beginning of the film, Elsa is given gloves to help control her ice powers from spreading to anything she touches. Through this we can assume that her powers cannot go through items of clothing. Yet when she runs from the coronation after-party later in the film, she runs across the fjord via a sheet of ice she is apparently creating spontaneously. How is it that her powers are able to go through her shoes, but not her gloves?
Corrected entry: When Elsa sings the final stanza to Let it Go, she is out almost to the rail of the balcony, but in the close up after her final line "The cold never bothered me anyway" she turns around and the door instantly slams shut behind her.
Corrected entry: Hans' plan makes no sense because that's not how being royalty works. If he married Anna, then Elsa was dead, Anna ascended the throne, then Anna was dead, he would not remain king. The crown would be passed to a relative of their family or to another high-ranking noble family within the kingdom. Hans would always be a prince no matter what.
Corrected entry: When Anna is trying to convince Elsa to come back with her and Elsa is telling her to go back home, Anna says that Arendelle is in "deep, deep, deep, deep snow" and that she caused an eternal winter everywhere. How does Anna know this about her home? When she left on her horse it was just barely snowing.
Corrected entry: When Anna and Kristoff first meet Olaf, the snowman claims he has no experience with heat. However, when Olaf finds a weak and freezing Anna in the room Hans locks her in, he sets a fire in the fireplace as if he knows it will keep her warm. That is when he feels heat for the first time. Since he had no experience with heat before setting the fire, he could not have figured it would keep Anna warm. (01:42:00)
Corrected entry: Elsa's original gown vanishes when she creates her ice gown. Suddenly her leg is uncovered and her neckline is much lower. But she never actually changed, she just created a new gown over the old one.
Corrected entry: When Elsa starts to thaw Arendelle we can see that they are standing on the ice, the ships are all surrounding them. But suddenly as the ice thaws under them a ship appears directly beneath their feet. (01:28:00)
Corrected entry: During "Let it go," after using the stairs Elsa created she takes a few steps and starts to create an ice castle. The stairs she created a moment ago are suddenly missing. (00:32:55 - 00:33:40)