I haven't seen any of these, thank you.
Inspector Lyndley Mysteries
Father Brown
Call the Midwife
Ripper Street - I have just started to watch on Netflix
Scott and Bailey
Luther - a bit creepy, but incredible
I hesitated for years on Foyle's War, and then ate it up, way good, everyone in it
Brokenwood is a New Zealand series, most excellent.
Neither one of us cared much for Longmire
I like the Inspector Dalgleish ones. A little dated but long stories, great for a rainy afternoon.
other favorites, Campion, Nero Wolfe, Cadfael, and New Tricks.
Edited to add: England isn't a very big country, which really comes home when you watch a lot of their mysteries. Our favorite game is "Oh she has scowled at us before", or where did he menace us before" and so on
Off to check the cba site, full episodes are available? Amazing.