Deliberate mistake: In the scene after the Helm's Deep battle, when Aragorn meets Eowyn, the earlier footage of Aragorn's return to Helm's Deep is used. He has the wound on his shoulder and is dressed like he was during the 'falling' episode. The background (people in the fortress walking calmly) also indicates that this takes place before the battle. This scene should immediately follow the one where Aragorn is greeted by Gimli ("you are the most reckless man I ever knew"). Confirmed on cast commentary, extended DVD. (02:45:20)
Deliberate mistake: When bars are placed on Harry's windows, so he does not escape, it is apparent that his windows have complete leaded panes of glass. Yet when Harry is being rescued, Ron and Harry speak with each other, even in low voices, through his visibly closed windows. (00:08:00 - 00:09:00)
Deliberate mistake: When Alexander is travelling to the future for the first time, it shows a speedy acceleration of the events around him. However, the planes that are seen flying by are moving at normal speeds, or at least speeds way too slow since they should be moving too fast to even see, since skyscrapers are being built in a matter of seconds.
Deliberate mistake: When Bond is fighting Zhao in the clinic, they accidentally set off the tomograph Zhao was lying in. As this machine's powerful magnetic fields indeed would pull any metallic object in, no doctor with common sense would allow sharp objects and other stuff within range. You aren't even allowed to carry watches and have to report any dental fillings. (00:43:50)
Deliberate mistake: Although the first account of what happened in Zhao isn't completely true, the arrows penetrating the calligraphy school are sometimes flying at angles that make their trajectory impossible, such as arrows flying perpendicular to the ground or even flying upward.
Deliberate mistake: When the lady is supposedly in the water with the crocodile, you can see that it isn't her. It is actually Steve in a fat suit and wig.
Deliberate mistake: When the girls are shown at home at the beginning of the film they speak in their native tongue except when they talk to whites. Also at Moore River they get sometimes scolded for using that 'jabber language'. Therefore, it seems wrong that on their walk home they talk to each other only in English. (Though the director admits on the commentary that he felt this would be unrealistic, he decided the audience would connect with the girls if they speak English rather than reading subtitles.)
Deliberate mistake: When Mr. Roboto is offering Austin a mushroom, the subtitles lead Austin to think Mr. Roboto is asking him to eat some shit, until Foxy reveals more of the subtitles to say "Please eat some shitake mushrooms." The correct spelling for this kind of mushroom is "shiitake." They had to cheat on the spelling in order to make the joke work.