In the series, there is a scene in which Mr Bean takes an art class, but can't stand to look at the nude model, so he places clay over her breasts; a similar idea was proposed for the movie for a scene in the Royal National Gallery (i.e. the British museum that Mr Bean works for at the beginning of the movie) in which Mr Bean tries to conceal various nude art forms from three young girls.
For a considerable length of time there was a character called Annie; a nice, but not particularly bright girl who worked at the museum. She was deleted from the script because her character played no significant role in the movie.
The Chinese title for the movie reads "Han Dou Xian Sheng", which literally means "Foolish Bean Mister", giving the impression that Mr. Bean's name actually comes with "Foolish" (the Chinese character "Han" can mean naive, foolish, silly or simple minded). Therefore in Chinese pop-culture, if you refer to Mr. Bean simply as "Bean" ("Dou", "Dou zi", or "Dou Xian Sheng"), most people would be puzzled, but when you say "Foolish Bean" ("Han Dou"), they would immediately understand your reference.
The soundtrack album for this film contains "(I Want To Be) Elected" by Alice Cooper, as sung by Bruce Dickinson. Rowan Atkinson appears in the song, making comments throughout as Mr. Bean, who is running for British prime-minister. His lines contain many references to Atkinson's series Black Adder the Third (1987). For example, Vincent Hanna appears reading off the votes, like he did on the first episode of Blackadder III. Like in that episode, all the parties listed off "no votes" until Atkinson's, who received all the votes (so Bean gets elected in the song). Also, Bean's speech starts off "Unacustomed as I am to public speaking..." like Prince George's did in the episode "Sense and Senility".
The trivia items below may give away important plot points.
Various skits from the Mr. Bean (1990) TV show are featured in the movie, like: On an airplane, Mr. Bean blows up a sick bag full of sick and then pops it; a turkey gets stuck on his head; gets bored on a fast ride; has a mishap with the painting (in the series it is a library book).
The film was going to end with Mr. Bean returning to the National Gallery, only to find it abandoned, so he ends up mailing himself back to the Langley family. In truth, the staff of the Gallery staged the whole thing to drive Bean away.
Mr. Bean's employers at the National Gallery in London are the film's real antagonists: They decided to send Mr. Bean instead of a proper art scholar and they lied to David Langley about Bean in their letter. They wanted to rid themselves of Bean and his unintentional turmoil and they did not care that his behavior, clumsiness and unintentional turmoil would threaten Whistler's Mother as well as David's marriage. If Bean's plan to replace the painting had failed and backfired, Langley would had lost his job as the curator and Mr. Bean would had been charged with property damage and Bean's employers at the National Gallery of England would had got sued and they would have to accept full responsibility for Mr. Bean damaging the head of the painting.