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