Factual error: When Sandra Bullock and George Clooney manage to get to the ISS, she gets entangled with some ropes and manages to grab Clooney's safety rope. Clooney's speed should be very close to Bullocks' and the ISS', hence. The parachute ropes should be able to withhold the forces of deceleration (the mass of two people is very small, compared to Soyus or ISS), so no more pulling or having to sacrifice himself... This is due to the fact that there's no drag in space to constantly change Clooney's velocity (revert to Newton's First Law).
Suggested correction: The parachute ropes are of course strong enough to hold the relatively low kinetic energy of the drifting astronauts, but that is not the reason why Clooney detaches. The rope is not attached firmly to Bullocks' leg. There are some loops loosely wrapped around her leg, and while both astronauts are still drifting away from the ISS (seen in a shot a few seconds earlier), those loops slip away from the foot one by one. Before the last loop slips away from the foot, untethering and condemning both astronauts, Clooney detaches himself to lessen the kinetec energy that pulls on the rope by reducing the total mass of the "system of two astronauts", so that there is a better chance that the last loop will remain attached to Bullock.
Once Clooney had stop moving all that would have been need was a slight pull from Bullock to pull him towards her. The momentum was lost when he stopped moving. So no need to cut himself loose.
It all happens in free fall. As soon as the cord withstood inertia resulting from George's body mass pulling on it, George would bounce back towards Sandra. The entire scene was completely unrealistic.
Clooney stopped moving in relation to Bullock. But both were still moving in relation to the ISS (look at the scene again; there is a wide shot that establishes this), with both their masses pulling on the parachute cords, straining the tenuous connection of the cords looped around Bullock's foot. To lessen the strain, Clooney detaches itself from the two-astronaut-system, reducing the mass and kinetic energy pulling on the cords.
Clooney and Bullock - when they were connected to each other - never actually stopped moving in relation to the ISS.
Actually parachute cords can withstand hundreds of pounds of force, making them very difficult to snap.
The danger wasn't the ropes snapping, the danger was that they would slip off her foot, and they would both be lost to space.
Factual error: It is not possible that Pitt could have gone up to the ship when it was already blasting off. There was literally fire in the tunnel.
Suggested correction: It was a bit confusing, but what I saw was a shower of sparks or hot particles and some fumes, and no fire in the tunnel until he was through the hatch. The makers may have been influenced by seeing vapour prior to a rocket launch, and then some rockets use a shower of electric sparks to ignite the engines. It was implausible, but no fire in the tunnel.
Factual error: An An-12, the aircraft the main character uses to fly all over the world, has a maximum range of about 3,500 miles. Hardly enough to fly from the US to South Korea or from South Korea to Israel. The An-12 also miraculously transforms into a C-130 in a couple of filler scenes. And why is this ex-Soviet aircraft marked in USAF markings, assigned to McGuire AFB?
Suggested correction: Can't speak to the second half of your paragraph (should really post as 3 separate mistakes) but as for the first, a range of 3500 miles, aircraft such as the kc-135 exist and aerial refueling is fairly common place. Considering it's a mission supported by the acting UN Secretary General to stop a world crisis, resources could have been diverted for refueling.
The initial launch from the carrier is a C-130 which can do this (if empty, minimal fuel, has the full length of the flight deck and the carrier is steaming full ahead into the wind). It then morphs into an AN-12 and back to a Hercules. They make the point that this small fleet is what is known to remain of allied forces so not sure where any tanker support will come from. Many movies have ridiculous range issues with aircraft anyway.
Factual error: The old percussion double barrel shotgun is firing modern shotgun shells, which would never work or fit in that gun, and furthermore are also made of plastic, wrong for the era.
Factual error: Their 'spot' for drinking is apparently in the French Quarter because of the street signs. That said, they are drinking Budvar beer. If you know about Budvar, it is the original Budweiser beer from the Czech Republic. Budweiser sued Budvar and won, preventing them from using the name 'Budweiser', even though Adolph Busch came up with 'Budweiser' after going to Pilsner, Czechoslovakia. Budweiser being the bully, and their lawyers and all, won the lawsuit. So now the beer is sold as 'Czechvar' in the US and 'Budvar' everywhere else, meaning they couldn't be drinking it in the USA.
Factual error: The story is set in 1976. "Funkytown" is used in the movie and the end titles. The song was not released until 1980.
Factual error: Near the finale, Kang sends a command to all US based missiles to self-destruct in their silos, thereby detonating their warheads. Ignoring for the moment why "self-destruct in silo" would ever be a desirable scenario programmed into ICBM protocols, detonation of a nuclear warhead requires an extremely precise sequence of events, none of which would include a nearby, conventional explosion. (01:38:20)
Factual error: There is a shot of the Imperial Valley at night with the edges of the Los Angeles destroyer spinning over the mountains. The center of the destroyer is hovering over downtown LA. Imperial Valley is over 200 miles away from downtown LA, and the destroyer is no more than 20 miles in diameter. There would be no way the edges of the destroyer would extend far enough to be seen from Imperial Valley as shown unless it was over 100 miles in radius. The ship does not even hover over Steven Hiller's house which is in LA, it can nearly be seen whole from there. The destroyer would be obscured by the mountains and from 200 miles it would appear much smaller.
Factual error: It is roughly 120-135 dB inside of a C-130, especially one that hasn't been specifically modified. It is so loud that it is painful to be in the cargo hold without hearing protection (besides it being outside of military regulations) and you certainly couldn't have a normal conversation while it was in flight.
Factual error: The grenade booby trap in Hattie's flat gets triggered, with the pin coming out and lever comes off. Once that happens the fuse is set and there's no way to stop it exploding, but Shaw puts the pin back in and renders it inert again. (00:25:50)
Factual error: The movie takes place during the 1990s, but throughout the movie cars are shown with Illinois license plates with "Illinois" written in cursive. These plates were not introduced until 2001. (00:24:45)
Factual error: When Swagger is fleeing from the police in the car wash after being shot, the radio says that he is at a car wash at 9th and Girard. There is no such intersection. On Girard Ave, 9th street picks up south and north of that street.
Factual error: At the point where Jared Leto is released from prison he is picked up in a 1960 Black Chrysler Imperial. As the camera rises it shows the date as 1954. The car is used a few more times in the movie.
Factual error: After escaping the hospital, Harvey Dent wears the same charred suit he was wearing when he was brought to the hospital. That suit would not have been neatly taken off and left intact. It would have been cut off with shears so as not to accidentally remove any damaged skin and flesh when pulling the pants and shirt off. The blazer might still be intact but certainly not the pants and shirt.
Factual error: Mel and Goldie board a ferry. A visible sign states 'Detroit-Racine Ferry'. Detroit is on the east side of the state of Michigan but Racine, Wisconsin is west of Michigan, across Lake Michigan. The only water route to get from Detroit to Racine would be to circumnavigate the entire state of Michigan.
Factual error: When the B-52 is flying low over Russia, the shadow on the ground is a Boeing B-17G, a World War II propeller driven bomber.
Factual error: Denham is obviously shooting a sound film - he has a sound recordist with him along with the bulky and awkward recording equipment typical for the era, and they discuss the problems of recording dialogue on board. But not once do we see him filming with sound. We see the crew recording dialogue - synchronised sound, recorded on location, which is utterly impossible given the equipment they have and the circumstances under which the fim is being shot. We never see a microphone, a boom pole or a tape recorder. His camera isn't even 'blimped' - soundproofed - and it's handcranked, which makes a racket. They can't be planning on adding the sound later - why have the sound recordist and his bulky and heavy equipment there with them if they are? We see the crew recording dialogue - synchronised sound, recorded on location, which is utterly impossible given the equipment they have and the circumstances under which the fim is being shot. The whole point of post dubbing dialogue is that you don't need a sound recordist in the first place.
Factual error: In the movie, we see the Statue of Liberty with its current bluish-green color. The statue only got that color over time, and as it was still being built, it should be its original brown.
Factual error: The truck that the T-1000 uses to try and run down John in the overspill, is a Freightliner FLA 9664, which uses a diesel engine - it does not use petrol. Diesel is much harder to combust in comparison to petrol/gasoline, and the spark from the battery cables on the spilt diesel would absolutely never ignite under those circumstances. (00:37:55)
Factual error: In the big battle scene at the Home Mart store after Robert turns the power off to the building, you see Robert grabbing welding canisters. When Robert has Ralphie turn the power back on, it cuts to one of the bad guys in the break-room, and a digital microwave starts counting down. A digital microwave could not have any memory of any prior cook settings, let alone any way to set it, since the power was already out. (01:55:40 - 01:56:35)