Another goodie but oldie is The Queen, with Helen Miren. I dug out my copy and watched it to celebrate the Jubilee weekend.
I recorded The Queen a few weeks ago, I'd be open to watch that.
I'd like to throw "Clue" out there. Maybe not for this month, but later down the line. Clue (or Cluedo) is a British game, after all. Maybe it'll kick off a British games (board and otherwise) group!
I'd love to watch this again, haven't seen it for donkey's years.