Factual error: In the final fight scene with Malekith, Thor falls through a portal that brings him to Charing Cross station, where the lady on the train tells him he has to ride 3 stops to get to Greenwich. Charing Cross is not on the Jubilee Line and so not directly connected to Greenwich - even then it's a lot more than 3 stops. (01:33:45)
Factual error: In the Shinkansen fighting scene, the railway line is seen having color light signals along its way. But the Shinkansen uses a signalling system that doesn't involve the use of light signals at all.
Factual error: Superman begins shooting his super intense heat vision at the soldiers attacking him and the other heroes. His vision cuts boats in half, and incinerates the soldiers into ash in an instant. The lasers from his eyes are super strength, with him not yet knowing how to hold any of it back or shut it off, and it is going through the soldiers and boats. Yet the vision leaves no damage at all to the ground the soldiers were standing on, nor does it create any steam when going across the water cutting boats in half. (00:52:15)
Factual error: In the final scenes when Superman is fighting the enemies in Metropolis, even though half the city has been destroyed, the lights are still on in many buildings. In reality, the destruction of a few skyscrapers would be enough to trigger the shutdown of the electric substations that serve the city and all the lights would be off (as happened with Hurricane Sandy). (02:00:00)
Factual error: Near the end, Zoe and Trey battle to the death, Zoe armed with a tomahawk and a knife, Trey armed with a Husqvarna chainsaw. During the battle, Zoe manages to amputate Trey's right hand, with which he was gripping the chainsaw's safety release and trigger (as his left hand gripped the support handle). Bellowing in pain, Trey continues swinging the chainsaw by its support handle with his left hand. Lo and behold, the chainsaw is somehow, miraculously, still revving in-and-out, which is only possible if the safety release is continuously depressed with the palm of the right hand as the fingers rhythmically flex to squeeze the trigger. Of course, with all major tendons in the wrist severed, an amputated hand cannot grip or flex or squeeze anything.
Factual error: In "China", when the white American guy shoots the flying monkey out of the air you can see the slide on his pistol locks back. However, he is then able to fire a second shot a few seconds later. (00:32:03)
Factual error: The melting point of gold is nearly 2000 degrees Fahrenheit, and yet Thorin rides a wheelbarrow through a river of molten gold with his fingers inches away from the stream. Even if we believe the dwarfs are hardier than men, I doubt he could survive that, let alone the wheelbarrow.
Factual error: In one scene, the witch Mizuki is seen observing oracle bones over a fire to do a reading for Kira. This movie is supposed to take place in feudal Japan; oracle bones are a part of ancient Chinese culture, not Japanese.