Here is the full list of all 10 The Unfinished Swan achievements.
Release all balloons.
Launch a blueprint box 30 meters high.
Launch a blueprint box 15 meters high.
Look at the sleeping King.
Reveal every storybook page in the game.
Reach the Watchtower without throwing more than 3 balls.
Finish the King's Dream chapter.
Finish the Nighttime chapter.
Finish the Unfinished Empire chapter.
Finish the Garden chapter.