During the song "Never say never" The Statue of Liberty's tablet is visible behind Fiever. The Tablet shows JULY IV MDCCLXXVI, true to real life. However, a moment later, the numerals read MDCCLXXV.
From Bridget's first appearance, up until after she and Tony kiss, she has a parasol. It is last seen at her side when she sits down with Tony, right before Fievel tells the crowd that there are no cats in America. When Tony and Bridget emerge from the wreckage, it has disappeared; when Bridget leaves for Tammany Hall with Tony and Fievel, she leaves without it.
When Fievel climbs down into the sewer he leaves his hat on the grate. In the following few shots he is still without it. A bit later he is still walking, but clutching the hat in his hand.
When Tony pulls Bridget from the wreckage at the market, she has a white petticoat under her dress. When she lifts her skirt up while searching for Fievel during the fire, only the underside of her outer dress is seen.
During the storm sequence, there are two mice playing checkers below decks. In the first close-up the board is filled with red pieces, most of them crowned. Then, when the boards slides with the waves, the wider shot shows the game almost empty, with only three or four red pieces.
The Statue of Liberty was really designed by Frederic Auguste Bartholdi.
In the opening titles, Fievel's name is spelled "Feivel". "Feivel" is the correct spelling from Yiddish, but due to misspellings on posters, the end credits, merchandise, and the title of the sequel, "Fievel" has come to be accepted as the correct spelling for the character's name.
When Tony is reunited with Fievel, he steals a piece of cheese from a mouse trap and throws it up in the air. The cheese never seems to come down, but is fully visible on its way up; in the open matte version it can be seen moving to the left, suggesting that it was not thrown straight up and came down offscreen.
In the establishing shot of the rope/basket "elevator" that Feivel and Warren T. Rat take to Moe's sweatshop, the rope is cut off near the top of the frame. (This only occurs in the open matte version, not the intended widescreen frame of theatrical exhibition.)
While in the bottle, a wave washes Feivel up on top of the (yet to be installed) torch, in front of the Statue of Liberty. After he climbs out of the bottle, an wider shot shows that the torch is thirty or forty feet in the air, which means that an exceptionally large wave had to have been that high to put the bottle on top of it.
When Warren T. Rat sees Fievel through his mirror, the reflection is not reversed (note the position of the gold teeth).
When the mice are constructing the secret weapon, a mouse is rolling a can of 'Alum'. A single frame of animation has a note on it, with an arrow pointing to the can and the text: "PAINT", placed right above the mouse.
In the cat's lair Tiger mentions to Fievel that he is a fan of broccoli. The film is set in the 1885-1886 time frame. Both broccoli and cauliflower were unknown in the United States then. In fact, both vegetables were not commercially grown in the United States until Italian immigrants started commercially growing both vegetables in California in the 1920s.
While looking for his family, Fievel hears violin music coming from an apartment, which turns out to be a recording on a phonograph (Edison cylinder). Although Thomas A. Edison invented the phonograph in 1877, it did not become available for home use until 1889 (4 years after this story took place). In fact, the Edison Phonograph Company was not formed until 1887.
While the story is set in 1886, the phonograph plays "The Stars and Stripes Forever", by John Philip Sousa, which wasn't composed until 1896.
We see Fievel outside of a mouse school with little mice reciting the Pledge of Allegiance. This wasn't written until 1892, over six-and-a-half years after the 1886 setting of the story. In addition, the phrase "to the flag of the United States of America" is used; the original version of the Pledge featured instead "to my flag", and was not changed until 1923, 37 years after the setting of the story. Finally, as the sound of the Pledge trails off, "under God" can be faintly heard; this was not added until the 1950's.
In Henri's room, as Fievel is done taking a bath, there's two modern American flags (meaning 50 stars). In 1885, when the movie takes place, there were only 38 states.
Fievel and his family board their ship in Hamburg, in northern Germany, but the band welcoming the passengers is a Bavarian traditional band that would never play there.
In the film it seemed Fievel's family got to New York by ship in just a few days. In reality it should have taken between one and two weeks to get there, especially since ship was the only way to travel.
A mouse on the boat to America tells a story involving a tortoiseshell cat. Several times, he refers to the cat as "he" or "him". Unless suffering from an extremely rare genetic defect, all calico/tortoiseshell cats are female.
When the cats are hanging on the anchor, on their way to Hong Kong, Digit says that he needs to start learning how to count in Chinese, and starts counting some coins. However, Digit starts counting in Mandarin, while the majority of speakers in Hong Kong speak Cantonese.