The cup in Lump's hands changes when he is drying the dishes.
The Professor's hands and glasses, and the dripping candle wax behind him, change when he talks about Edgar Allan Poe and then sits down.
When Gawain pulls his gun on Garth in the Waffle House, the way he holds the gun differs between the camera angles.
When Mrs. Munson is sitting in front of the painting at the very beginning of the movie, we see her knitting in an over-the-shoulder-shot and she wraps the wool round her fingers. When the camera changes, she does it again, although the wool actually is already wrapped around her hand.
In the drawing of straws scene, one of the long straws in the first shot has a noticeably kink near its end however in the subsequent shots this straw has been replaced by a straight one.
Tom Hanks says that he went to Ole Miss in Hattiesburg, but Ole Miss is in Oxford, and University of Southern Mississippi is in Hattiesburg.
The criminals intent to collapse the tunnel in order to leave no trace of the crime, however, all this would have done is leave a trench between Mrs. Munson's house and the casino.
Shadow of boom mic on the door as Dorr leads Munson into the kitchen after the poetry recital.
When Dorr is explaining their goings on in the basement, he says they hit a pocket of natural gas (which explains the explosions), knowing what it was by the smell of "rotten eggs". It is a known fact that natural gas has no smell naturally, but is in fact given it by the gas company so leaks can be noticed before they reach lethal levels.
The Professor refers to the "lovely... morn" minutes after Ms Munson exchanged "good afternoons" with the sheriff.
Professor Dorr's orchestra "performs" both Renaissance and Rococo music. (The pivotal Luigi Boccherini recording is from the latter.) Although Dorr uses the terms interchangeably, the two styles are completely different, and separated by a span of about 150 years.
Pancake claims to have come to Mississippi as part of the Freedom Riders movement in 1964. The Freedom Riders actually made their famous, eventful and at times rather violent rides, in the late spring and summer of 1961.