There's a puzzle in lost horizon where you have to assemble a broken vinyl record. You know the type, where you can rotate the pieces 360 degrees to get the correct orientation and match them to fragmented edges of other pieces. Essentially a jigsaw puzzle. Whenever I come across these I'm in my element, I love them.
In other games there's been assembling pieces of important documents like letters. I think some of the sherlock games had them. Definitely my favourite, with slider puzzles a close second.