Several that we enjoyed, in no particular order:
The Sinner, all 3 seasons, US with Bill Pullman, crime drama, more on the psychological side, no shoot-outs or chases.
The Slap, Australian series, family drama, very well done.
Save Me, British series, drama.
The Casual Vacancy, UK Britis, based on the J.K. Rowling book. Skewering of social mores. Hilarious scene near the end with Michael Gambon sitting on the throne in the ensuite.
Versailles, high court soap opera drama, rampant sex, intrigue, decadent, escapist
Alibi, UK short series, twisty plot, good characters
Undercover, UK series, see Alibi
Cardinal, seasons 1-4, set in North Bay, based on the novels by Giles Blunt. Bitter cold temperatures, black flies, it has it all. No shoot-outs, intrigue.
Bancroft, UK series about a crooked cop. One of the most evil characters ever.
Broken, UK series about a priest with a past. Complex adult drama.
Patrick Melrose, based on real life of author, messy life, drugs, drama. Slow at first but then gets really interesting.
Collateral, terrific British cop drama.
Worricker Trilogy, old spy drama with Bill Nighy, more twists than you can imagine.
Unforgotten, UK cop series, low-key human drama.
Line of Duty, UK cop internal affairs show, glued to the screen rivetting. Fantastic interrogations scenes.