Scene with Sakamoto and Connors at restaurant meeting. Connors takes cigarette out of case before Sakamoto walks in. When she gets up to greet Sakamoto and then sits back down, she reaches for another cigarette. Then after they cut back to her, she already has it lit. But you never hear her lighter click.
When Jimmy is first checking out Walter's living room, and the TV is showing the news story about the prison strike, the announcer says "Let's talk to the Warden, Mr. Frank Toole, here at the Milton K. Prochek Correctional Facility". The announcer then starts out with, "Mr. Prochek..." and is never corrected by the Warden, or anyone else, even though the Warden's name is shown on his desk and his name tag as "Frank Toolman".
The position of the door changes several times in the mansion when Jimmy first enters it and looks around.
At the lunch meeting, just as Diane makes a toast, Jimmy reaches for his drink. After the cut to a group shot, Jimmy is reaching for the glass again.
Jimmy's glass while having a drink with the blonde girl in her father's house.
When Elizabeth Barnes calls Spencer/Jimmy at the mansion, Jewel tells him that Elizabeth is calling. He is splashing underwater when she tells him, and he tells Jewel to say that he's busy after coming up for air. When your head is underwater, and the water is splashing, you can't hear anything. Therefore, he couldn't possibly hear Jewel tell him who was calling.
When they pan around the stadium at the beginning of the World Series game, there are quite a few empty seats, something you would not see at a real World Series game.
Jimmy is in a prison at the beginning. There is a warden and they have prison jobs and it is a prison facility. However, the mistake is that they are wearing shirts with "County Jail" on the backs. A county jail is not a prison.
The Lotus Esprit that is being stored in the garage is on car ramps. There is no way possible that you can drive the car up onto the ramps under the rear tires and there is no equipment visible capable of lifting the car and placing it on the ramps.
Neither the Anaheim Angels nor the Chicago Cubs played in the 1989 (when the movie was filmed) or in 1990 (when the movie was released) world series. The Anaheim Angels didn't play the world series until 2002, and even then it was against the San Francisco Giants.
When Jimmy and Spencer do the Batman slide down the cable at the ballpark, you can see Jimmy hanging from the hidden safety cable after Spencer drops to the ground at the end of their slide.
When Jimmy is first checking out the Filofax, he finds a list of 'power words' he reads out FIRST RATE, PHENOMENAL, SUPERLATIVE, BENEVOLENT, but 'phenomenal' clearly is not on the list.