Factual error: The film is set in 1997. There is a scene where Amelie knocks on a house door and in the background is a new model VW Beetle. These weren't available until early 1998. You can also see several scenes with various new models of Fiat Punto and VW Golf which weren't available until 1999. (00:19:00)
Factual error: At the time Amelie's mother dies, little Amelie is about 6/7 years old - you can see her standing in the church just before the tourist falls on her mother. Around the time Amelie leaves the house of her father, she is about 22 years old. However, the narrator speaks of a time-period of five years, which means Amelie would have to be around 15 years old when her mother died.
Factual error: When Amelie see the plane crash on TV, that scene was set circa 1980. However, the plane shown was an Airbus A320, which was not introduced until 1987.