Factual error: In one scene they are playing on an Xbox 360, but the Xbox 360 did not come out until 2005, and the game being played, Gears of War, wasn't released until 2006. The movie takes place in 2004.
Factual error: Ashley Judd is convicted of murdering her husband for the insurance money and that would make it a first degree murder charge (first degree meaning she planned the murder). Because of that there is no way she would have been eligible for parole after just 6 or 7 years.
Factual error: Tom Hanks is driving his car over a bridge in downtown Chicago in 1931. In the background is the elevated train structure. An aluminum bodied train passes on the trestel in the background. This aluminum bodied train is of 1980's contruction. In the 1930's the train cars were of wood construction and painted brown. They were still in service in the 1950's.
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: 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: In the scene where Admiral Kimmel is inspecting the crew of the battleship an aide comes up with a message to send some ships to the Atlantic. Admiral Kimmel starts complaining about the orders. No Admiral would ever do this especially in front of enlisted men. In fact he was placed in charge of the Pacific fleet when his predecessor complained about moving the fleet from San Diego to Pearl Harbor.
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: 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: 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: 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: In the yard scene when Dewey tries to change the switch, the throttle lever slips from idle to full power. This would not have been possible. Throttle levers are notched, and require significant force to move.
Factual error: A map in the office of Policeman Pierce Brosnan showing the "Hillside Lake" is Lake Constance (Bodensee) in the south of Germany. (01:11:00)
Factual error: In the scene when Michael visits his father in the hospital in 1945 there's a NYC Fire Dept. Sign on the wall with the name of the Commissioner, Robert O. Lowery, who was commissioner from 1966 to 1973.
Factual error: When they are at Aunt Meg's the first time, they get word that a tornado has been spotted and somehow they already know its rating. Tornadoes get their ratings from the amount of damage they do. This is determined after the tornado is gone.
Suggested correction: The scale back then was based on the size of the tornado, it's only more recently it is based on damage. So during the time of the movie, the scale was being used correctly for size not damage.
The Fujita scale was introduced in 1971 and was in use during the 90's when this film came out. The Fujita scale measured the damage caused by a tornado to man-made structures after ground or aerial surveys, it was not a measurement of tornado size (an F5 tornado is a tornado that's rated on the Fujita scale). It is true the Fujita scale was replaced by the enhanced Fujita scale in 2007, but that was only to align the ratings to the damage better, it did not change rating tornadoes from size to destructive powers.
Factual error: In a scene in 1980, Brian May is teaching everyone the beat for his new song "We Will Rock You." However that song was released in 1977.
Factual error: In the montage sequence showing Drew Barrymore hanging out with the math club, they have a Pi poster with 3.1457869986. Only the first 3 digits are actually correct. (Pi = 3.1415926535897...) (00:25:20)
Factual error: Jack Ryan takes the enlisted oath, not the officer's oath, when commissioned into the Marines. (00:02:35)
Factual error: On the bus ride in Nepal, they're playing a Hindi song from an Indian movie (Kabhi Khushiyan Kabhi Gham) that was released in 2001. The time frame on the bus is 1996.
Factual error: The green car that the 3 ladies are always in has a shot where you can see the brand of tires being a Hankook Optimo. This was in 1961 and these radial tires didn't exist yet.
Factual error: At the cinematograph, Mina says to Dracula, "How can you call this science? Do you think Madame Curie would invite such comparisons? Really!" The movie takes place in year 1897, but Marie Curie's works weren't published until 1898. (00:49:30)
Suggested correction: It's never stated that she was charged with 1st degree murder, nor that she killed her husband for the insurance money. It was only brought up in trial as motive. Nick's accident was ruled "wrongful death" and the fact she did get paroled further show she was never convicted of 1st degree murder.
And what about the phone call from prison the Libby makes to Angie, and Angie says she "was just about to call her" or she tried calling her like how the heck can you call someone in prison!?