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