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