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 second prince (Stephen).
Listen to all of Navi's advices.
Kiss the Princess with the wrong prince.
Obtain a Perfect result in the sewing game.
Don't use hints in the first maze puzzle.
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.
Obtain a Perfect result in the cooking game.
Don't use hints in the third maze puzzle.
Don't use hints in the second maze puzzle.
Capture the Golden Fish.
Choose the right decoration for the Gnomes' house.