So recently I've been replaying Broken Sword I and II (gosh, aren't they great games?), and replaying the original Broken Sword reminded me of the most ridiculous puzzle that I've come across in a game.
The Goat Puzzle.
Admittedly, it was apparently simplified in the 2009 version on Steam that I replayed. It was such a notorious puzzle, it apparently even deserves its own Wikipedia article: The Goat Puzzle - Wikipedia, the free encyclopedia
Broken_Sword_Goat.png
This puzzle drove me mad when I first played the game in the mid-90s. For those blissfully unaware of this particular game, after having used a sewer key to grant you access to the battlement of a castle (as you do), you arrive at a goat guarding an entrance to an archaeological dig you need to enter. The goat stops you entering. The only way to get past it is to let the goat butt you, but then as it returns to it original position, move a piece of farming equipment in the way. That way, when it tries to butt you next time, the goat then gets entangled in the machinery and you can get past.
So what's the most annoying puzzle you've come across in a game?