Deliberate mistake: In the torture scene, Mr Blonde turns the radio on and listens to "Stuck in the Middle with You" as he proceeds to torture the cop. Mr Orange shoots him before Mr Blonde turns the radio off, but somehow the radio is never heard again in the film.
Deliberate mistake: When David brings Jack home to meet the family and at the beginning of Santa Fe number.It starts raining buckets during dinner and the cake scene, but less than a minute passes and it is dry enough to sit down on the stairs at the beginning of the Santa Fe number. Then during the song "Santa Fe" and later in the dance sequence, the ground is dry as Jack is kicking up dust.
Deliberate mistake: The extras used in the scene when Danny gets assigned the case appear again as members of the jury. If Danny's colleagues were called as jury members for a trial all would have to declare a conflict of interest and be ineligible to hear the case. (00:09:30 - 01:03:25)
Deliberate mistake: When Michaela reads "The Once and Future King" to Lorenzo, she doesn't start at the beginning, even though she's never read him that book before. Not only does she not open the book to the first page, the words she reads are not at the beginning of the book (I believe they are about three or four chapters in).
Deliberate mistake: At the start of the movie when the articulated truck is leaving the aircraft, you never see the attached trailer until the truck is completely flat on the runway. This is because of the steepness of the loading ramp, the trailer would ground and get stuck on the ramp.
Deliberate mistake: During the Hall of Fame sequence at the end, Dottie sees the display about Jimmie hitting 58 home runs and there is a long wide shot of it as she stands next to it. Then there is a close-up of the bottom of the text which says born 1906 - died 1987, which wasn't present during the wide shot a moment earlier. The filmmakers likely saved this for the close-up for dramatic effect, but by blocking the initial shot without that part obscured it makes the text magically appear out of nowhere.
Deliberate mistake: When the terrorists attack the ship the shot then goes to an external view of a Marine getting shot. The Marine falls but you can actually see him jump. (01:23:55)