In Paris, they meet Dupuy de Lôme, who historically build an early dirigible at that time. Shown is a gas balloon, that is called a hot-air balloon, but flies like a dirigible.
Miss Fix tells her father "It is 1872!" But the Paris riots took place in 1871.
Based on the angle at which the bullet hits Fogg, the French President was never in any danger of being hit.
The French flag is shown in the colors introduced in the 1970s, with lighter blue.
Phileas is shown looking through a stack of picture postcards. The plot is set in 1872, whereas the earliest picture postcards were produced for the 1892-3 Columbian Exposition. The cards shown include some (e.g. a view of the Coliseum) printed in a style common to the 1910-WW1 era.