Revealing mistake: When the old couple who give Wolverine clothes are first driving towards their house, there is an aerial shot of them driving over a bridge. This is supposed to be set in Canada (drive on the right) but it was filmed in New Zealand (drive on the left). They are driving on the right but the arrow on the road is on the left side.
Revealing mistake: When Logan is at the old couples' house and checking out his new claws in the bathroom, watch where they come out of his hand carefully - the animation of his CG claws doesn't totally replicate the movement of his hands, making it look as though they are floating around his knuckles.
Factual error: When Wolverine leaves one of the compounds, he slashes through the door with both hands, creating an "X" in the door. After the second slice, the portion of the "X" where the cuts actually crisscross remains in the door, when in reality the pieces would fall out as they wouldn't be attached to the door any longer and would be floating in air. (00:44:30)
William Stryker: Don't worry, we'll stop him.
Weapon X General: Really? You just spent half a billion dollars making him indestructible.
Question: Given that Logan's body (skin, bone, muscle, etc) is what "regenerates" quickly, and Adamantium is absolutely fixed once it is solidified, Logan would now have two permanent holes in the front of his skull from the bullets fired into his brain to destroy his memories at the end of the film? Unlike the skin, muscle, bone and brain tissue, the Adamantium would not "heal over" or regenerate, so the two vulnerable bits of bone would remain, a bit of a vital vulnerability in a dangerous area of the body.