Continuity mistake: When Eloise tells Tom Tom that she remembers everything about him, he feels so overwhelmed that hugs her and puts his head to her chest. This is shown three times, while in the second shot, from another camera angle, Eloise's posture and expression are completely different.
Trivia: Wim Wenders made the movie in a real hotel in a rather run-down area in LA. Throughout the shooting he had to deal with unwanted extras interfering with the shooting. One lovely example is the scene where Skinner talks to Tom Tom in a car in front of a porn cinema, and a lady in red, who is seen in the background, all of a sudden puts her nose to the window to have a good look at Mel Gibson.