When Fred is attacked by Santa's Secret Service upon his initial arrival to the North Pole, a patch of snow remains stuck to his face. Not only does this not melt any from his body heat, but the patch changes places several times during subsequent shots.
When Fred tells Nick that he will fly the sleigh, Nick has a pink slip in his hand. When we cut back to Nick after Fred leaves, the pink slip is gone.
During the "intervention" scene, after he has broken free of his wrapping paper and tape bonds, the amount of gift wrap still stuck on Fred varies. Specifically, a piece appears and disappears on the left breast pocket of his shirt.
Young Nick has brown eyes and Young Fred has blue eyes, but Adult Nick has blue eyes and Adult Fred has brown eyes.
Fred slowly brings his arm down while doing karate moves à la Elvis Presley at the workshop, but his arm is gone in the next shot.
A trip to the North Pole in mid to late December would be in the dark. Fred's first and second arrival and the arrival of Mr. Northcutt all happen on bright sunny days.
Mere moments after Mother gives birth to Nicholas, she is standing up. Women do not recover from giving birth that quickly.
The narrator says: "it's a little-known rule of sainthood, but when you become a saint, you freeze in time, eternally ageless. The rule applies to the family of the saint and the spouses, as well." Sainthood is conferred after death.
In the end credits, the promotional note for the soundtrack album is misspelled "sountrack."
The first snowball Santa throws during his snowball fight with Fred has clearly been "pre-rolled" for him to grab quickly in the fake snow.
Despite being set during winter at the North Pole, no one's breath can be seen in any of the outdoor scenes.
In one shot during the fight on the snowmobile, the background is painted and clearly fake.
The background in the scene where Nick gets a present from Fred is clearly fake.
After Northcutt kills the power, and Fred and Willy are "flying blind", Willy consults a map and says they're near "longitude 38.25..." and shouts for Fred to "take a left!" When Fred takes the left turn, they're in Tokyo. The Longitude of Tokyo is 139 degrees, 46 minutes East. 38.25 East is the Longitude of Matui, Tanzania.
The delivery sequence has Fred traveling to places which are not in darkness at the same time.
Willy tells Fred that they have 10 hours to deliver the presents. Based on the world sunset/sunrise times on Christmas Eve/Christmas Day, they would have up to 29 hours, the points closest to the North Pole being in darkness the longest.
Willy tells Fred that they have until 5:38 AM sunrise "North Pole Time" to deliver the presents. As The North Pole is in darkness at Christmastime, there is no sunrise. Moreover, as the lines of longitude converge at the North Pole (and at the South Pole), there is no "North Pole Time", at all; researchers in the Arctic and Antarctic use the time zone associated with their research stations.
It's never explained how the "Board" which oversees Santa's operations, has placed the Tooth Fairy on a "one-child, one tooth" limit, and just fired the Easter Bunny came into being, much less, has control over these folklore figures.
At the Siblings Anonymous meeting, Roger Clinton explains that he got upset watching footage of his famous brother Bill on the History Channel making his 1993 State of the Union Address to Congress. There was no State of the Union address in 1993 as Bill Clinton had just become President and the traditional speech never takes place during an inauguration year.