
Deliberate mistake: There are several large security mistakes that were obviously added to the film to move the plot forward. The takeover of "Control" would not happen that way. The Secret Service keeps it in a secret off site location which not even the security detail knows. This location is in some kind of very remote bunker to prevent what happens in the movie. Secondly, when the threat is identified and the switch to the double is made, the President would have been moved to a secure bunker created for the purpose until the threat was dealt with.
Suggested correction: It actually could still be possible for a takeover of "Control" to happen even if it was a secret off site location/secure bunker. Depending on Taylor's security clearance and how high up he is in the secret service, he could have been one of the few in the security detail that knew where the secret location was. Since he's the one that got Barnes back on detail, he most likely has a high clearance.
No actually it couldn't be possible for takeover of control. No one in the security the detail knows where the secret location is. Even if Taylor had a high clearance it only grants access to a limited number of places. One of the places it doesn't grant access to is the secret location.
With a high enough clearance it could still have been possible. Not to mention there could have been more than one mole in the secret service other than Taylor who had the clearance to know the locations.
Read it again. "Even if Taylor had a high security clearance it only grants to a limited number of places. One of the places it doesn't grant access is the secret location." So Taylor would not have access to the secret location no matter how high his security clearance was.
Takeover control couldn't be possible if the location was an the location an off site secret bunker because the villains wouldn't be able to find it. Even if Taylor had a high security clearance he wouldn't know where the secret bunker because if he was ever allowed in there he would blindfolded to prevent him from learning where the bunker was. Taylor would get arrested if he learned where the bunker was.
Only the service officials know where the bunker is. Taylor is not a secret service official.

Deliberate mistake: In the scene with the first demonstration of the digging laser, they dig/blast quite a hole in the mountain. Even assuming the laser can very easily shatter the rocks substance, still the debris would have to go somewhere, yet there appears to be none. And the amount of power needed to convert matter into energy is not practical.

Deliberate mistake: When the Evo crashes into the tanks it jumps into them at height but there was nothing there to make the car jump. (01:17:25)

Deliberate mistake: After the game has entered the real world, and Floop and Minion are there to "save the day", Carmen and Juni throws seven pairs of glasses to them. But afterwords, we see there are only four pairs of glasses on Minion and one pair on Floop, which totals five. (01:11:10)

Deliberate mistake: After the broken suspender clasp smacks Gerry in the face, in the close-up it lands under the dresser, within the wide strip of light reflection. In all other shots the entire area beneath the dresser is in shadow. (00:11:00)

Deliberate mistake: Near the beginning, Col. Mortimer takes down a wanted poster and goes after the man. The man he kills looks nothing like the man pictured on the poster.
Suggested correction: There is a similar situation in the UK produced western movie "Carry On Cowboy" (released 1965). Johnny Finger/The Rumpo Kid (Sid James) shoots the sheriff of a US town. The sheriff is related to legendary sharpshooter Annie Oakley (Angela Douglas) and she swears revenge. Finding that Johnny Finger is staying in a saloon, Annie Oakley sets up a trap on the staircase. Another person (an uncredited extra) inadvertently walks up the staircase, so she shoots him instead. As he falls down the stairs she calls out "I'm terribly sorry I thought you were somebody else." Perhaps Col Mortimer has made a similar mistake. Being less polite than Annie Oakley he does not have the good manners to apologise.
Suggested correction: Is that a mistake? (Either on the part of the people who made the film, or assuming this was real life, on the part of Colonel Mortimer?) They're a pretty bloodthirsty lot in this film, and nobody seems to really care who gets shot. Maybe he figures he can get a bounty for that person anyway.

Deliberate mistake: When the Looney Tunes are playing basketball against the aliens, if you look in the stands the same cartoon characters are in different places at the same time. This happens a lot.

Deliberate mistake: When bars are placed on Harry's windows, so he does not escape, it is apparent that his windows have complete leaded panes of glass. Yet when Harry is being rescued, Ron and Harry speak with each other, even in low voices, through his visibly closed windows. (00:08:00 - 00:09:00)

Deliberate mistake: When the penguin goes into the cemetery, he bumps a tombstone and it moves. Almost certainly a tribute to legendarily poor director Ed Wood, who Tim Burton later directed a biopic of - this exact thing happened in one of his films. (00:39:15)

Deliberate mistake: During the Trojan attack on the Greeks at the beach, before Hector and "Achilles" have at it, there are two separate close-ups of Hector's sword slicing across a man's face, who promptly spins around and spews blood. This particular man is enjoyed twice in two takes of the same shot, just before and after Odysseus' close-ups. Then as if that's not enough, a few shots later this spewing man is actually seen a third time, but this time from another angle. (01:42:30)

Deliberate mistake: Manny refers to the pirate rabbit as the Easter Bunny, even though Easter never existed in prehistoric times. (00:33:55)
Suggested correction: And mammoths didn't hang out with sloths and smilodons either. It's creative license.

Deliberate mistake: At the end of the film, Gaston shoots the Beast with an arrow and pushes the Beast out the window. When the Beast lands on the edge of the castle rooftop, the arrow has disappeared. Even if part of the arrow has broken off, a piece of it would still be in his back. [This, like many other incidents in the film, is a longtime Disney animated tradition. The company seems to believe that violence is less unpleasant if all evidence of it disappears quickly. This is why so many cuts seem to disappear or become less serious. The arrow vanishing is just another example.] (01:16:55)

Deliberate mistake: During the scene of the Spartans moving out, they sing "I Will Survive." Sonio is clearly singing the song alone, because his lips are singing the song before the music or anyone else is singing.

Deliberate mistake: As "Fake Dolly" runs away from Gracie, it is rather obvious in the shot facing Dolly as she runs down the stairs and then when she turns to look behind her, that it really is a fake Dolly running. (00:48:20)

Deliberate mistake: When Max and 99 are in the air, they can be seen talking to each other. This is not possible (as proven on Mythbusters) even if you were yelling at the top of your lungs. The wind would make any noise unrecognizable, yet we hear them talking to each other just fine.

Deliberate mistake: When Lex tests the crystal fragment, it knocks out all the power on the airplane Lois is flying in, yet the flight attendant's amplified voice can still be heard over the speakers. (00:30:40)

Deliberate mistake: The four main "good guy" characters are stuck on an island with people who are trying to kill them. Steven Baldwin's character brings a pistol and takes a machine gun from one of the bad guys. Several times they overcome other armed men, but after defeating them, never bother to take the bad guys' guns. At one point, two characters argue over who gets to carry the pistol, yet when they knock out a man armed with a rifle, they leave it with him and just walk away.

Deliberate mistake: There is a shot of the huge Yogurt statue that is in slow motion. You can see that the smoke from the statue is rising slower than it normally would. This was obviously done to make the shot longer for Mel Brooks' voice over to fit.

Deliberate mistake: Throughout the entire movie, every time Charlie Sheen is not wearing his helmet, especially when he's out in the field in this tropical climate, his hair is always meticulously combed back, blow-dried and puffy. As a veteran, I know from personal experience that when you take your helmet off, especially in a climate like that, the reality is your hair will be messy, sweaty, pressed flat and most unattractive.

Deliberate mistake: In the first bowling scene, all the lane numbers are backwards.