I haven't read the whole series, and have only linked the first book. They are interconnected, so worth reading in order.
These aren't westerns in the sense of a story set in the 1800's, but they are very, very much about The West.
The succinct description: county sheriff Walt Longmire, his best friend Henry Standing Bear, and an engaging supporting cast fight crime in a small town in Wyoming.
The descriptions of the plains and mountains of Wyoming are worth it alone, and the stories are pretty entertaining as well. The author manages to capture modern life in a fairly remote part of the US. At the same time, these are not formulaic books and have plenty of humor sprinkled throughout.
These might be a good read even for those who normally are not fans of classic westerns.
There's also a TV series, although I think the books are better - they are richer and more nuanced.