Not quite the same thing, but I found the Ace Attorney series was fun in a similar way. Same with Ghost Trick, by the same creator.
And Grim Fandango if you hadn't played it.
The Nintendo DS stimulated a bit of a renaissance in point-and-click adventure games -- maybe because the touch screen lent itself so well to that style of gameplay.
The first Ace Attorney game is riveting from start to finish.
The Professor Layton games are all great.
I've read that Hotel Dusk and Last Window are both really good but haven't gotten around to playing them myself. I can vouch for Last Window's soundtrack, though, which is spectacular.
Grim Fandango is absolutely one of the best games of all time. Yes, some of the puzzles are very difficult. I had to read a walkthrough to figure out the cat race ticket number.
Stylistically, Grim Fandango is a 10/10.
That said, I tried playing it again recently and the puzzles do not hold up. Extremely frustrating and unsatisfying solutions.
I would not be opposed to a remaster of the game that also fixes some of the puzzles - similar to what the Cyan team (controversially) did with their Myst and Riven remakes.