Here is the full list of all 11 Aurora achievements.
Save the third star
Save the second star
Save the first star
Save the fourth star
Save the fifth star
Save Sun, the eldest daughter
Complete the normal game mode without dying
Complete the normal game mode in less than 10 minutes
Complete the normal game mode in less than 5 minutes
Complete the normal game mode in less than 5 minutes, without dying
Complete the inverse game mode