Technobabylon
Alex and I just finished playing Technobabylon, a point-and-click adventure game from Wadjet Eye Games. It's very, very good, and I strongly recommend it if you like point-and-clicks with serious plot. (It's not completely devoid of humour, but it's very definitely thriller and not comedy.) And if you like it, then also Resonance, Primordia and the Blackwell series by the same people. They're all very compelling, quite dark, and with puzzles that tend towards the technical: you're more likely to be hacking into someone's email than combining ropes and sticks and bent nails. They also have meaningful, genuinely debatable moral choices (and, consequently, branches in the plot; but the branches are fairly few, compared with a visual novel / interactive fiction / etc). Alex and I stopped partway through both Resonance and Primordia to have a big debate, because we'd ended up persuaded to opposite sides of the moral dilemma. (In Technobabylon we agreed, but I don't think that necessarily makes it an inferior game.)
I remember, as a teenage point-and-click adventure fan, playing Grim Fandango. I thought, wow, this has enough plot that you could strip out the puzzles and make a halfway decent film. (Games I'd played before that, like the (original) Monkey Island series and Day of the Tentacle, were excellent and lots of fun, but the plot was just a flimsy vehicle for the puzzles.) But Technobabylon is in a different league: if you stripped out the puzzles you'd be left with almost too much for a film. It would definitely be a complex film, like Inception or Looper, requiring concentration.
I remember, as a teenage point-and-click adventure fan, playing Grim Fandango. I thought, wow, this has enough plot that you could strip out the puzzles and make a halfway decent film. (Games I'd played before that, like the (original) Monkey Island series and Day of the Tentacle, were excellent and lots of fun, but the plot was just a flimsy vehicle for the puzzles.) But Technobabylon is in a different league: if you stripped out the puzzles you'd be left with almost too much for a film. It would definitely be a complex film, like Inception or Looper, requiring concentration.