Here is the full list of all 40 Wings of Vi achievements.
Defeat Supreme Jeh'Oul without taking any damage.
Defeat Supreme Jeh'Oul and save the world.
Defeat Jeh'Oul without taking any damage.
Defeat Jeh'Oul.
Defeat Azurel without taking any damage.
Defeat Azurel.
Unlock all weapons.
Defeat Myougi again without taking any damage.
Defeat Myougi again.
Defeat the Twin Orcs without taking any damage.
Defeat the Twin Orcs.
Defeat the Ancient Constructs without taking any damage.
Defeat the Ancient Constructs only enraging one of his three heads.
Defeat the Ancient Constructs.
Defeat Kratarac without taking any damage.
Defeat Kratarac.
Defeat Amethyst without taking any damage.
Defeat Amethyst.
Beat the last segment in the Sinister Grotto while having defeated all spawns of Terravine along the way.
Defeat Terravine with at least one minecart left in the room.
Defeat Terravine without taking any damage.
Defeat Terravine.
Reach the upper platform in the underwater area in Sinister Grotto.
Travel below each platform during the first minecart sequence.
Defeat the Dark Annihilator without letting any bombs touch the floor.
Defeat the Dark Annihilator without taking any damage.
Defeat the Dark Annihilator.
Talk to a person who hid themself in the caves.
Watch over the broken bridge.
Make all the birds in Vi's home fly away.
Defeat Electram without taking any damage.
Defeat Electram.
Defeat Pr'Gora without taking any damage.
Defeat Pr'Gora.
Defeat Myougi.
Defeat Myougi without taking any damage.
Defeat Myougi having done maximum damage to her each time she deactivates her shield (4 damage).
Find a secret.
Beat Rubi in the obstacle course race.
Read all the stories in the Floating Keep library.