Faith Martin, DI Hillary Greene Series
This mystery series featuring DI Hillary Greene, a detective inspector with the Thomas Valley Police in Oxfordshire, England is an excellent set of British police procedural mysteries. Hillary Greene is an interesting character because she is a very capable detective who finds it hard to get ahead because her philandering husband, also a police officer, was posthumously found guilty of corruption. Despite personal and professional challenges she solves crimes with cool professionalism and by working well with both superiors and subordinates alike. It is nice to see a mature adult working as a detective for a change.
If you like mysteries that make you think and have a minimal amount of violence, you will enjoy this series. Since there are plot arcs that carry through several books, I would highly recommend reading them in order.