Aerinah

Corrected entry: When Thorin stands up to Azog, with the dramatic march down the half fallen, half burning tree, he has his sword in one hand and the other is empty, all he has on his arm is his usual leather grieve. After the shot changes and he's facing Azog's wolf, he has the oaken branch on his arm (with identifying metal additions), the one he used in the battle at Moria and from which he earned his name. He didn't have time to go and get it, nor did he have a pack or bag in which to carry it, seeing as how they were in a life and death run from the Goblin cave immediately prior to this.

roboc

Correction: Actually, if you look closely you can see that in the shot where Thorin has first stood up with his sword in his right hand, he already has the shield on his left arm. Also, earlier in the movie you can see Thorin keeps the shield hung on his back (low, beside his left hip) so there's no reason he couldn't still have it when he faces Azog.

Aerinah

Corrected entry: When the eagle first picks up Thorin, we can see all four front talons grasping him. In the next scene, we see Thorin's leg dangling free. When the eagles are about to land, all four talons are grasping him again.

Human X

Correction: First, it's not clear what the mistake is supposed to be here: what does Thorin's leg position have to do with how many talons the eagle is grasping him with? If you mean that sometimes the eagle is holding both of Thorin's legs and sometimes only one leg, you may be right, but we also see the eagle shifting its grip at least once, and the camera doesn't stay on Thorin for the entire flight to the Carrock. So it is entirely possible that the eagle shifted its grip a few times during the flight, resulting in whatever difference in grip and/or leg position you spotted.

Aerinah

Corrected entry: Near the very beginning of the film, when Bilbo is chatting with Frodo outside Bag End, Frodo says he's heading-off to the 'East-farthing Woods' [sic] to wait for Gandalf to show-up. Frodo then happily trots-off down the path with nothing in his hands, and wearing no backpack. Yet at the beginning of 'The Fellowship of the Ring' film, Frodo is sitting with his back against a tree, waiting for Gandalf to enter Hobbiton - reading a book that's appeared from nowhere.

Correction: Actually, if you look closely you can see that Frodo has the book in his left hand as he heads down the path.

Aerinah