When the Creep washes his hands before performing "surgery" on Mandy he turns the tap off with his elbow and when he turns around the tap is switched back to on again.
When Kate is sitting waiting for the last train, there is a close up on her legs, showing that she's wearing black fishnet tights. All through the rest of the film she seems to be wearing sheer black tights.
Near the end of the movie, Kate's hair is wet and she has a bloody nose. When she finds the platform again her hair is a lot dryer is and her nose is not bleeding.
At the start of the film, Kate is wearing black tights with a small fishnet pattern. During the running around in the lower levels of Charing Cross they have become plain black and remain so for the rest of the film.
The unexpected train that Kate boards at Charing Cross and where she is followed by Guy is a 1996 Stock Jubilee Line train. When she runs into the cab and gets out of the train into the tunnel the train has switched to a 1972 Stock Train.
All tube stations in London have release mechanisms on the inside of the metal gates, to ensure people can get out in case of this exact circumstance.
A large station like Charing Cross is rarely so quiet as it is in the movie. Usually there are no end of contractors and cleaners walking through the station after the last trains have left, in addition to the Station Supervisor.
The cannabis dealer at the beginning of the movie says "...that s***s legal now." referring to cannabis. Actually cannabis has not been legal (as of 2015) since 1925. During the early 2000s it was downgraded from a Class B drug to a Class C drug but it was never legalized completely.
The underground station is meant to be Charing Cross which is a new station and has straight walkways. The old curved passenger tunnel is elsewhere, almost certainly Aldwych.
Franka Potente's character falls asleep accidentally and thus is left at Charing Cross after closing time. When she awakes and later on luckily jumps on another train passing through, her rude admirer is there to greet her (and then tries to rape her). He would have had not only to stay hidden all this time while following her, but also would have had to accept being locked in with her, plus would have had to wait for her while she was frantically trying to get out only then to return downstairs trying to catch this last unannounced train.
Possibly intentional as the character is German: Kate attempts to put coins in the public pay phone when the emergency services (999) can be dialed free of charge from all public pay phones in the UK.