The classic car park sequence was filmed at the Heathrow Airport Bowl car park. Mr. Bean then walks out of the car park into the swimming baths, which are actually six miles away.
Shortly after the episode aired, Heathrow Airport Bowl (where the car park scene was filmed) introduced a permanent bollard to the entrance and exit, so that copy cats couldn't copy what they saw in this episode.
In the park scene there is a moment in which Mr Bean uses a credit card to spread butter on his sandwich and says "My flexible friend", which is a reference to the then-existing Access credit card (which is in fact the type of card he uses), whose TV advertisements used to say "Access: your flexible friend" as their slogan.
The horror film Mr. Bean and The Girlfriend goes to see at the cinema is called "A Nightmare". However, the poster of the film seen at the cinema is "A Nightmare on Elm Street 5: The Dream Child", which was released in the UK on 11th May 1990, which came out several months before (#1.3) was broadcast on 30th December 1990. The original "A Nightmare on Elm Street" was released in the UK on 12th July 1985, five years earlier.
The poster for the horror film Mr. Bean sees is the UK poster for A Nightmare on Elm Street 5: The Dream Child, with the camera placed to cut off the last words (making it appear to simply be called A Nightmare), though an obvious picture of Freddy Krueger is shown. However, the film is only four minutes in length (making it far too short to be a feature-length film), and the implied events in the film do not match the events in The Dream Child, or any other film in the Nightmare on Elm Street series.