Adding a few here. I think we like the same kinds of shows, Deb. These are not gritty crime, and there is not a British accent to be heard -- -- but I love these 3 shows:
Rectify: Sundance channel, past seasons on Netflix. The third season just began. A Sundance original series, set in the south, about a man released from prison in his 30s after spending 19 years on death row for a murder he may or may not have committed in his teens. It's a really smart drama about what happens when he returns to his small southern town. Literary, gothic, legal issues, family, great writing and acting. Very southern.
Halt and Catch Fire: On AMC, first season is available on Netflix. The second season recently began. Set in the 80s, so great 80s fashion. About the tech world, and in particular, early mavericks in personal computers and online gaming. Geeky fun and intense in its way. Great personal drama set in a fascinating period. Terrific acting. Season 1 was more about the men, season 2, which is airing now, is more about the women.
Masters of Sex: Showtime, season 3 starting on Sunday. This is really well known, probably needs no introduction. Fabulous, sexy, interesting views of sexuality, feminism, relationships, etc. Complex. Great acting.