Our Mothers House is set in London in the 50s or 60s, i think you will like that one

A FATAL INVERSION (1992)

Such film adaptations are often done in British TV docudramas. In fact, a new TV drama is being made about the John Christie murders. Subject matters about and filmed in Britain may not be marketable outside of Britain, so some of these films may not be widely known or seen. Hence, they are often done on British TV. Also, it is more expensive to use real locations (or build sets to look like real locations) and maintain historical accuracy because of the amount of research and resources needed. That's why Hollywood is often more equipped to make these films (such as In Cold Blood, Zodiac, All the President's Men, etc.). There are some widely known British events that lend themselves to great docudrama films, such as Titanic, the Royal families, Jack the Ripper, and the likes, but you are probably not thinking of those. A film like 10 Rillington Place is rare indeed.

How about
Spider
with Ralph Ffiennes?