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