Factual error: While Evans and Eve are still in Grand Central they overhear an announcement which states "According to Port Authority policy This station will be closing for the evening." Grand Central is not part of the NY/NJ Port Authority. Also Grand Central is a terminal, not a station, as trains do not pass through Grand Central, they enter and turn around.
Continuity mistake: During the "Perfect Puppy" silly song, Bob places a newspaper he had been reading on the couch beside him when Larry starts singing. When Bob shows Larry the picture of the dalmatian, the newspaper has vanished. When the shot cuts back to Bob, the newspaper has returned. (00:16:55)
Factual error: The "Italian" police wear obvious fake uniforms, they're US style.
Factual error: In the opening heist, the gang of thieves wants to steal "The Medal of Zeus." A plate at the museum explains that in Ancient Greece, Olympic champions were awarded olive wreaths, up to the 88th Olympics in 424 BC, when a golden medal was given to the victor for the first time. This last bit about gold medals is just made up by the movie. But it also gets the timeline wrong; the 88th Olympics were in 428 BC. 424 BC is when the 89th games took place. (00:03:30)
Continuity mistake: When the crocodile catches the man he bites his right foot off. 5 seconds later as he falls into the water his foot is back. (01:21:05)
Plot hole: When Mr. Shepherd arrives at the school he learn Joseph's (the student's) name but loses his memory. When they are telling him the nativity story Shepherd says "this Joseph" when referring to the student, but he shouldn't remember it.
Other mistake: During the driving scene in the woods with the Bronco, at least two shots are reused twice.
Revealing mistake: About seven minutes in, during the scene where we see Cooper helping the Nerd as a cameraman, you can tell that Cooper has been added to the scene using green-screen effects, as the actor was unavailable to shoot at the location. The lighting on Cooper doesn't quite match the lighting of the scene, and you can see a slight "blur/feathering effect" around him where the greenscreen background was removed.
Continuity mistake: When Thomas first arrives at the Clay Pits, Timothy can be seen with a train of trucks. In the next scene, they have disappeared.
Factual error: When the guy is talking to him on the phone and the Russian smashes it on the floor, the phone smashes and the battery comes out but the guy other end can still hear him. (01:04:00)
Other mistake: In the flashback to Richard's childhood, when he looks from the door at his dad randomly shagging a party guest, the door appears open wider in the POV than it is in the other shots, where the opening barely fits his head. Besides, with the head in that position, he wouldn't see the door handle as shown. (00:02:00)
Continuity mistake: Felix pushes the fire alarm button and exits the building. As his buddy Danny reaches him, it's obvious that multiple takes of the scene have been made, since some extras that were meters ahead of him are just passing him by at the very first cut. (00:04:30)
Continuity mistake: Vincent and Oliver are eating ice cream, Vincent's ice cream cone repeatedly changes levels of ice cream left in his ice cream cone as he eats it. (00:48:00)
Other mistake: The grave that Clinton dug for "Mouser" was not even close to the recommended minimum depth of 3'. After placing the box in the hole, the cat's remains would have been within about a foot of ground level, which was close enough for the cat's scent to attract animals which might/will dig up the grave. The roots of Mouser's favorite tree should have interfered with the ability of Clinton to dig there without obstructions. Also, some states or local ordinances prohibit backyard burials of pets. (00:24:28)
Continuity mistake: Jay is mopping the floor after promising on the phone to his dad that he'll bring his non-existent fiancee to the wedding. He tries to talk one of the nurses into joining him. While doing so, he stands before her leaning on his mop with his left hand on top, which switches to the right hand between shots. (00:06:40)