Here is the full list of all 17 Little Briar Rose achievements.
Die three times in the same puzzle.
Finish the game once.
Finish the game with the first prince.
Finish the game with the second prince (Stephen).
Die seven times.
Choose the right decoration for the Gnomes' house.
Capture the Golden Fish.
Obtain a Perfect result in the sewing game.
Obtain a Perfect result in the cooking game.
Help the Spriggan date the Fairy.
Collect every item.
Listen to all of Navi's advices.
Kiss the Princess with the wrong prince.
Don't use hints in the first maze puzzle.
Don't use hints in the second maze puzzle.
Don't use hints in the third maze puzzle.
Don't use hints in the fourth maze puzzle.