Here is the full list of all 20 Yu-Gi-Oh! Duel Links achievements. It takes around 200 hours to unlock all of the achievements on Windows.
Reach Stage 50.
Collect 300 types of cards.
Destroy a total of 1000 monsters.
Win 300 Duels.
Successfully Summon a total of 1000 monsters.
Reach Stage 20.
Inflict a total of 1 million points of damage.
Win 100 Duels.
Reach Stage 10.
Win 50 Duels.
Destroy a total of 100 monsters.
Win 30 Duels.
Successfully Summon a total of 100 monsters.
Win 5 Duels.
Reach Stage 3.
Earn all achievements.
Collect 10 Prismatic Cards.
Collect 100 Prismatic Cards.
Win 30 PvP matches.
Win 100 PvP matches.