Here is the full list of all 24 Yu-Gi-Oh Legacy of the Duelist : Link Evolution achievements.
Win All Duelist Challenges
Win a ranked multiplayer match (duel)
Unlock all avatars
Win an unranked multiplayer match (duel)
Deal 100k in Effect Damage
Deal 50k Damage with Defending Monsters
Defeat Yu-Gi-Oh! VRAINS Campaign
Defeat Yu-Gi-Oh! ARC-V Campaign
Perform a Pendulum Summon
Defeat Yu-Gi-Oh! ZEXAL Campaign
Chain 100 times
Defeat Yu-Gi-Oh! 5D's Campaign
Defeat Yu-Gi-Oh! GX Campaign
Create 5 decks
Perform a Link Summon
Win a Battle Pack match (duel)
Defeat Yu-Gi-Oh! Campaign
Perform an Xyz Summon
Deal 200k Damage with Attacking Monsters
Perform a Synchro Summon
Create your first deck
Perform a Tribute Summon
Perform a Fusion Summon
Win a duel by having all Exodia cards in hand