When Tony and Rhodes leave the Mandarin's mansion, Tony has blood on his left eye and cheek, which changes to the other eye between shots, then changes again at the boat.

In the bar Pike meets up with Kirk to tell him that they gave him the Enterprise. When Pike tells Kirk that Spock has been reassigned to the Bradbury Kirk pours liquor into his glass, nearly covering the big round ice cube. When Kirk lifts the glass from the bar, half of the liquor instantly disappears.

The glass on the windows on skyscrapers like the one in the skyscraper/assassin scene is specially made for high altitude building and is usually very thick (4-6 cm thick, as seen by the section the sniper removes), this means that during the subsequent fight scene it would have been impossible to break that window just by bumping into it.

When Jack retreats to the cabin for the first time in the film, he puts a Led Zeppelin record - Led Zeppelin II - and plays the first song on that side of the record, which turns out to be 'Ramble On'. Any Zeppelin fan would know that 'Ramble On' is song number 7 on side B, therefore the needle should have been placed somewhere in the middle of the disc.

The harpist is playing "Fur Elise", which though written in 1810, was not published until 1865.

The "French" phone shown as they talk about the intrusive unwanted guest calling Tom wasn't invented until about the mid-30's. In 1922, you still had to hold the candlestick phone in one hand and talk into the mouthpiece while holding the earpiece up to your ear.

When Pat runs towards the school, he talks with Mrs. Metgers and in the scene where they're walking up the stairs you can see a crew member with a white cap reflected in the glass of the door.

Grug's loin cloth gets ripped by a lion at one point. The rip magically fixes itself just moments later.

Iranian revolutionary guards didn't have caps with their uniforms until 1988 (after the end of the Iran-Iraq war).

In the scene where James Barr is shown shooting the four men during the war his rifle movement is inconsistent with where the targets were. He took aim at the man furthest away in a line. His rifle would have to move down as he shot each person moving down the line. Instead his rifle moves down then up and up again etc. Even if the targets decided to run after the first shot the rifle movement is inconsistent.