Factual error: In the movie, we see the Statue of Liberty with its current bluish-green color. The statue only got that color over time, and as it was still being built, it should be its original brown.
Factual error: Felicie, her rival Camille, and the other young dancers in the ballet school are all hoping to dance the part of Clara in a prestigious production of 'The Nutcracker'. The film shows the Eiffel Tower being built: this took place between 1887 and 1889. Tchaikovsky did not compose The Nutcracker until 1892. Also, early performances of The Nutcracker were unsuccessful. It was only from the 1930's that The Nutcracker became a popular work.
Factual error: The film shows the Eiffel Tower under construction. Several scenes of the film are set in Gustave Eiffel's workshop, where The Statue of Liberty is being assembled (the unfinished statue is the setting for a confrontation between Felicie and Regine). But the Statue of Liberty was transported to New York in 1885 where it was dedicated in 1886. Construction of the Eiffel Tower only started in 1887.