Here is the full list of all 17 Luna achievements.
Healed the Owl, Bird and Moon!
Healed the Fox.
Pet the Bird.
Brought blossoms to the Fox.
Revealed the Fox Totem
Healed the Bear.
Decked the world in clover.
Revealed the Bear Totem
Healed the Swan.
Made Mushroom magic.
Revealed the Swan Totem
Healed the Turtle.
Rebuilt the Turtle Terrarium
Gave the frogs a home.
Revealed the Turtle Totem
Untangled one of Bird's memories.
Listened to the Moon's call.