The license plate of a car being pursued changes from 3DW0489 in one shot to 3MX0149 in the next. It wouldn't be so easily noticeable, but the characters are talking about writing it down.
During the climactic chase, the van turns the corner from Ocean Avenue onto Queens Way in Long Beach three times and passes 444 E. Ocean Avenue four times.
When Perry and Harry are on the rooftop having an argument,
Perry puts his hand across his mouth to shut Harry up with his right hand. The next shot centering on Harry has Perry's left hand on Harry's mouth, and the shot after that returns to having Perry's right hand on Harry's mouth.
When Harry sees Flicka for the second time, at the airport, she is wearing a stewardess uniform and has her hair drawn back, revealing her ears. Harry says he recognizes her "by her ears", but the first time he saw her, in the Domino Room, her hair was worn down, and her ears were totally covered.
When Perry throws Harry's coat out of his car, it lands to Harry's right. However, when Perry drives off after the phone call, the coat is to Harry's left.
The microsurgery needed to reattach Harry's finger is too complicated and extensive for an emergency room visit; it likely would require a hospital stay of days, if not weeks.
Harry goes to Harmony's place early in the morning, and it is broad daylight. Harmony says it is 6:00 a.m. Since it is Christmas-time, the sun doesn't rise until around 7:00 a.m. in the Los Angeles area, and it would still be dark.
When the camera zooms in on the newspaper article detailing the story about the film crew coming to the small town of Embry, Indiana to film a movie, the date is March 2, 1980 Tuesday. However, March 2, 1980 was, in fact, a Sunday.
In the toy store, there is a large container labeled "Bargin Bin", which should be spelled Bargain Bin. However, this is not a Goof as misspelled signs frequently are seen in stores.
When Harmony's father tears open the magician's box after she starts screaming in the middle of the sawing-a-girl-in-half trick, it can be seen that the legs sticking out of the box are dummy legs. If the movie is paused, it can be seen that her real legs are still in the path of the chainsaw, and she does not have room to pull them out of its way.
The book that Harmony takes off the shelf at the party is entitled "You Wouldn't Want to Live There" by Joe Chester, a fictional detective novelist. When she opens the book to read it, the text at the top of the pages states that the novel is Maureen Child's "The Man Beneath the Uniform", a 2004 Silhouette romance novel.
When Harry answers Perry's mobile phone towards the end, the screen of the phone is visible. Instead of showing "Harmony Calling" as would be expected, the phone display simply shows the phone book entry for Harmony instead.
The script Robert Downey Jr is given spells the character name Raphael as 'Rapheal'.
When Harmony steals the van with the coffin, the bad guys standing right behind it don't react to the sound of her slamming the driver's door shut.
When the camera zooms in on the newspaper article detailing the story about the film crew coming to the small town of Embry, Indiana to film a movie, the website www.embrystar.com is visible under the name of the newspaper. The article supposedly was written and published in 1982, eight years before the first website existed.
In the wide opening shot of the scene with Harry and Harmony in the bar, the camera and crew are reflected in the mirrors behind.
When Perry and Harry approach the log cabin, the shadows of the camera crew can be seen upon the bushes.
When Harry is eluding police in New York City, a Los Angeles MTA bus passes by in the background.
In the voiceover, it is said that Harmony came to LA from Indiana, but in the footage of the bus going down the highway, it turns onto GA-16, outside of Marietta, GA. There's no reason she would take a bus that far SE to head to Los Angeles.
When Harry discovers a small pistol in the glove compartment of Perry's Mercedes, Perry refers to it as a derringer and even specifies (by way of a joke) that it carries only two shots, as derringers invariably do. However, it is visible as a North American Arms mini-revolver, and it shoots more than two shots late in the film.
When Harry and Harmony are talking in the Domino Room, Harry points out the punk rocker who resembles Steven Seagal saying "at your 11 o'clock", on her left, but he points and she looks to her right.
It makes no sense for Mr. Frying Pan and Mr. Fire to openly confront Harry on Day Two, give away their identities to him, and, instead of killing him, try to bully him into leaving town. They are murderers; he is a potential witness.
The newscaster announcing Veronica's death says she went missing "yesterday afternoon" and then concludes by saying, "Veronica Dexter, 25-years-old yesterday". But Veronica didn't die the day of her birthday (the party ended at night time); it was the day after that, in the afternoon.