Continuity mistake: In the scene just before the final attack on the castle, D'Artangan is surrounded by his fellow Musketeers. He gets off his horse and while doing so there is a tight close up where you see clearly that he is wearing his Musketeer outfit that he threw down on the floor in the previous scene. When he finishes talking to the horse (and he is back in his normal clothes) Porthos hands him the Musketeer uniform, which D'Artangan then puts on. (01:20:45)
Continuity mistake: In the early-morning scene at Mr. Brownlow's house, Oliver is shown sleeping in his bed. He awakens and his hair is in complete disarray as he walks towards the open balcony doors. Standing on the balcony and gazing outside, however, his hair is combed neatly.
Factual error: Robert McNamara is wearing a multi colored Polo shirt talking to Mrs. Graham in 1971. The Ralph Lauren Company did not make the shirts until 1972.
Factual error: When Sawyer and Cale take Cadillac One ("The Beast"), they eventually want to shoot a rocket launcher at the fence. Sawyer wants to do this while hanging out of the window. The real Cadillac One is bullet proof and has several layers of glass with the final one softer not only to prevent the bullets entering but the deadlier threat of glass pieces. Only the driver side can open approximately 3 inches.
Revealing mistake: When Henry's mom is pushed off the cliff her cable is visible.
Factual error: This movie is set in 1935. Back then, executions were done by hanging. The Louisiana Legislature changed the method from hanging to electrocution in 1940.
Visible crew/equipment: Near the end of the movie when the convoy is heading back to the Pakistan Stadium, a Humvee stops briefly to allow a man to walk across the street with a child in his arms. When the shot changes and the Humvee begins driving again, a crew member or cameraman is seen inside the Humvee wearing a white shirt. All of the men who entered the Humvee were wearing fatigues. (02:05:27)
Revealing mistake: When Sonny is on the payphone, you can see Julian mouthing something to the guy on the payphone behind Adam. The guy is giving him instructions.
Continuity mistake: At the "Big Pipe" contest the star gets trapped under water when her leash gets caught on some rocks. You see her undo the velcro on her ankle and then abandon the board (with the leash attached). About 20 seconds later when she is diving below the oncoming waves you can clearly see the leash re-attached to her ankle.
Revealing mistake: Most of the posed, fake displays in the ape's Museum of Natural History contain real people who are slightly moving if one pays careful attention. Especially noticeable are those posing with objects held in - or above - their hands.
Factual error: The moon is full every night the highschoolers are at the lake house.
Continuity mistake: William H. Macy makes dinner plans with the Mayor and writes "Dinner with the Mayor" on the dry erase board in his office. He writes "Dinner w/ the Mayor" in the "Tuesday" slot. Then an intern comes in and accidentally wipes the appointment off the board with her shirt. Macy yells at her and tells her to rewrite the appointment on the board. The whole premise of the joke and pretty big part of the movie is that the intern rewrites the appointment in the wrong day, thereby causing the Hollywood people to miss dinner, enrage the Mayor and his wife and have the town turn on them. When the girl walks away however, the appointment is clearly rewritten in the correct day (Tuesday). This ruins the whole misunderstanding because although the appointment is in the wrong day later in the movie, at the moment the joke is supposed to be set in motion, there is no mistake.
Factual error: On the cliff top before the battle on the beach, you are treated to a lovely if fleeting glimpse of wind farm turbines, not really fitting for the 12th Century.
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.
Plot hole: When Vlad enters Mehmed's tent, the entire floor is covered in silver coins and Mehmed remarks on Vlad's weakness to it. There's no way that Mehmed could have known about Vlad being a vampire or about his weakness to silver, as Vlad had killed every Turk after becoming a vampire, so nobody would be alive to tell him. Even the Turk found on the battlefield in the morning lived long enough only to deliver Vlad's message, but died immediately after that.
Continuity mistake: Angelica has flowers on her dress. During the wedding, they disappear and reappear between shots.
Character mistake: During the movie's opening credits, Sara is shown auditioning for Juilliard, which is misspelled as "Julliard" on a sign outside the room where the audition is occurring.
Continuity mistake: After Harry Zidler first sees Christian and Satine kissing, when they stop kissing, Satine's lipstick switches from being smeared to perfectly done and bright red when she walks and when Zidler is talking to her about having to end the infatuation.
Factual error: When the map of the German advance is shown, Switzerland is shown to be taken over. Switzerland was never invaded by the Germans. (00:05:10)
Suggested correction: It doesn't show German advances. It shows the German influence over Europe, symbolizing it covers all of Europe and then expanded towards the East. Italy was never conquered by the Germans either yet it was part of the axis and is shown being covered by black. Switzerland, though neutral, was fully surrounded by the Axis and their influence played heavily upon the country. Its a very crude simulation.
Suggested correction: It does not show the German advancement in true historical order, but more like a red shadow that expands across Europe in a steady pace. And just as the camera starts zooming in on Stalingrad, you can see a small sliver of red starting to spread on the south-eastern coast of Norway.
Continuity mistake: David Sloane (Sasha Mitchell) is the brother of Kurt and Eric Sloane (shown in Kickboxer, with Jean-Claude Van Damme). In the opening scene you can see pictures of the brothers, but the Kurt and Eric Sloane featured on the photos are NOT the Kurt and Eric Sloane from the Kickboxer movie. You also see pictures of Xian and Mylee, from 'Kickboxer'. Then later in the movie, when David and Xian 'meet', David asks Xian, "Who are you?" Well, he would obviously know, given that he's got Xian's photo hanging on his wall at home.