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