Then there's Scott and Bailey, sort of a British Cagney and Lacey, but with more characterization. (Hulu and some PBS stations)
George Gently: A London police detective trying to get over the death of his wife relocates to Durham in northern England in 1960. The series deals with a lot of the social changes that occurred in that decade. (On both Hulu and Acorn)
Whitechapel: The first season was about a modern-day criminal imitating Jack the Ripper in the very neighborhood where the original operated, and the police efforts to find and stop him. Subsequent seasons took on a bit of an X-Files tone, but I still enjoyed it. (Hulu)
The Brokenwood Mysteries, mysteries in rural New Zealand. (Acorn)
The Field of Blood A young woman newspaper reporter in the early 1980s gets no respect from her colleagues. (Acorn)
Line of Duty: Two seasons with separate story arcs. I haven't seen the second one yet, but the first one is about a police detective who is pretty sure that his boss is crooked but can't prove it. (Acorn and Hulu)
Taggart: The longest running show in the UK, it continued even after the actor playing the title character died, so that there was no one named Taggart on the show for the last 15 years or so. Crime in Glasgow. The early episodes are on Acorn, and more recent episodes are on Hulu, but no one has all of them.
If you want to branch out, Hulu has some French, Scandinavian, Japanese, and Korean mysteries, but the go-to place for dramas, including mysteries, from France, Italy, Germany, the Netherlands, and Scandinavia, is MHz Choice, another subscription service. All have subtitles, of course.