Anne is pretty great. My wife was a fan and she got me involved. I don't think they could easily have done that character in that time period in that era without getting pretty deep into aboriginal abuse; the fact that they do gender, sexuality and inequality is cool as far as I'm concerned.
If you like Anne you should probably give The Order a try. It's got a pretty serious Xena tongue-in-cheek vibe that they never quite nail? But it's fun.
Longmire is Murder, She Wrote if instead of Angela Landbury you've got one of the Agents from Matrix along with Starbuck from Battlestar and Lou Diamond Phillips. And if instead of being in a really murdery New England town it's in New Mexico pretending to be Montana. That entire series was filmed a two hour drive from the house I grew up in. The tonal shift from "Produced by A&E" to "produced by Netflix" is pretty jarring but you get over it.
The first season of Broadchurch is great. The rest are the opposite of great.
These are all of a continuum; "if you like this you'll like that". If there are two shows that I would wholeheartedly recommend just because they are brilliant they are
(DO NOT SO MUCH AS LOOK AT THAT THREAD UNTIL YOU HAVE WATCHED THE SHOW, ALL OF IT)