I did not get this achievement in my first playthrough. After I familiarized myself with most of the puzzles, I figured that the easiest and quickest one was the crane puzzle game. It's one of the first puzzles you encounter.
CRANE PUZZLETo finish this 'puzzle' you need to pick up an item from the crane machine. It does not tell you which item, but one looks different from the rest.
To finish this quickly, just tap right twice and down once on the joystick and then hit (A)
as soon as you can. Puzzle done.