When Belle ascends the spiral staircase it is initially a clockwise spiral, yet when she emerges at the top it is the reverse.
During the song "Gaston" - Gaston is standing on top of the bar and shoots the ceiling causing a lot of debris to fall. The camera then immediately shows a wider shot and there is no debris on the bar, or nearby people, to be found.
As the mob storms the castle, we see them breaking down the main wooden entrance door pushing past Maestro Cadenza. But a few scenes of fighting later, we see the mob breaking down the same door to enter the castle lobby.
During "Belle", Belle has no apple, and we don't see her pick one up, but after speaking with the forgetful man, we see her feeding one to the mule.
At 9m15s the Triplets get splashed with dirt by Gaston's horse. At 9m54s they can be seen trying on wigs, but their dresses are clean.
Gaston is shown carrying and using a flintlock pistol. An expert with the firearm during speed tests would have trouble reloading one in less than 15 seconds, but Gaston manages to do just that in under 10 while engaged in hand to hand combat, outside, at substantial height.
During the end credits of the original theatrical release, two actors are credited with the wrong names. The roles of 'Young Prince' and 'King' (credited to Rudi Goodman and Henry Garrett respectively) were actually performed by the actors Adam Mitchell and Tom Turner.
The head master of the school criticizes Belle for "teaching another girl to read." But beginning in 1692, well before the movie is set, all parents in France were required, by royal decree, to send all their children, boys and girls, to school until at least age 13.
During "Belle", Belle buys a loaf of bread, places it in her pouch, and a few scenes later it is gone. This is due to a deleted scene where she gives Agathe the loaf of bread.
In "Belle", Monsieur Jean asks Belle where she's going. She answers "to return this book to Pere Robert", but she isn't holding a book. There isn't room for such a large book (shown when she enters the church to return the book) in her apron pocket, especially after she buys a baguette and puts it in her pocket. Such a large book would make a visible bulge in her pocket anyway.
In outdoor scenes in the snow, not once do you see any of the characters' breath in the air.
During many dining scenes you find Belle and the Beast consuming tomato soup. Up until the late 19th century, people would not eat tomatoes because they feared that they were poisonous.
The costumes, architecture, and technology shown in the film are mostly consistent with an 18th-century setting, but Belle recites a poem to Beast ("A Crystal Forest" by William Sharp) which was written in the late 19th century.
Clothilde Cogsworth wears a peasant's cap of a style not seen until the French Revolution of the 18th century, about 30 years after the Seven Years' War.
At the beginning of the song "Belle", one of the villagers is locked up by two police officers. The police force did not exist until the first half of the 19th century.
Several times, it can be seen that Belle is wearing bloomers under her skirt. Bloomers were not invented until the mid 19th century.
The witch in the woods has a barn owl, but we hear it hooting like a great horned owl. Barn owls don't hoot but make a shrieking noise when it speaks.
The chimes in the village church actually ring before it's 8 o'clock during the opening scene.
When Belle and the Beast talk outside on the bridge high up at the castle, there is a slight reverb, as if spoken indoors.
The growls and snarls made by the wolves are actually lion noises.
When Maurice and Belle are talking outside the "jail cell", behind Maurice's back you see a crew member moving on the other side of the bars, from left to right. A few seconds later, boxy equipment moves from left to right.
Despite being named the East and West Wings, the East Wing is actually on the west side of the castle, and the West Wing the east, as revealed by the location of the sun when rising and setting.
The village that Belle lives in is named as Villeneuve but should be named Villeneuve-Sur-Lot which is in France where as Villeneuve is a village in Switzerland.
The movie states the servants are punished along with the Beast because they didn't interfere with the noxious upbringing performed by his abusive father. Considering the setting of the movie and the social barriers of the time, it's hard to imagine how humble servants could "interfere" with the upbringing of a prince by opposing his father, an absolute monarch.
When the beast frees Belle and sends her back to her father, why don't the wolves come after her again as she's leaving the castle?
In the bar scene, during the Gaston musical number, Gaston sings when he hunts he aims his quiver. First, the quiver holds the arrows and really he should be aiming his bow and arrow... but quiver rhymes with 'liver' so we'll let that pass. The error, however, is while saying this Gaston is actually pretending to aim a rifle or other long gun. Bad mime.
After "Be Our Guest" Belle says Lumiere mentioned the West Wing. It was actually Cogsworth that mentioned the West Wing.
Several 18th-century French characters are intimately familiar with the writings of William Shakespeare, which is highly unlikely although not impossible.