Here is the full list of all 92 Arcane Showdown achievements.
Summon 100 Ranged minions in duels
Destroy 10 Statues
Deal 1000 Damage in Battle
Summon 100 Melee minions in duels
Collect 10 COMMON Cards
Use Spell Cards 10 times in duels
Summon 10 Ranged minions in duels
Achieve Mage Level 2
Summon 10 Melee minions in duels
Deal 100 Damage in Battle
Achieve Mage Level 5
Achieve Mage Level 10
Achieve Mage Level 15
Achieve Mage Level 20
Achieve Mage Level 25
Achieve Mage Level 30
Play 250 Tier I Cards in Duels
Play 2500 Tier I Cards in Duels
Play 25000 Tier I Cards in Duels
Play 250000 Tier I Cards in Duels
Play 2500000 Tier I Cards in Duels
Play 100 Tier II Cards in Duels
Play 1000 Tier II Cards in Duels
Play 10000 Tier II Cards in Duels
Play 100000 Tier II Cards in Duels
Play 1000000 Tier II Cards in Duels
Play 50 Tier III Cards in Duels
Play 500 Tier III Cards in Duels
Play 5000 Tier III Cards in Duels
Play 50000 Tier III Cards in Duels
Play 500000 Tier III Cards in Duels
Summon 1000 Melee minions in duels
Summon 10000 Melee minions in duels
Summon 100000 Melee minions in duels
Summon 1000 Ranged minions in duels
Summon 10000 Ranged minions in duels
Summon 100000 Ranged minions in duels
Summon 10 Flying minions in duels
Summon 100 Flying minions in duels
Summon 1000 Flying minions in duels
Summon 10000 Flying minions in duels
Summon 100000 Flying minions in duels
Use Spell Cards 100 times in duels
Use Spell Cards 1000 times in duels
Use Spell Cards 10000 times in duels
Use Spell Cards 100000 times in duels
Donate 10 Cards
Donate 100 Cards
Donate 1000 Cards
Donate 10000 Cards
Donate 100000 Cards
Collect 100 COMMON Cards
Collect 1000 COMMON Cards
Collect 10000 COMMON Cards
Collect 100000 COMMON Cards
Collect 10 RARE Cards
Collect 100 RARE Cards
Collect 1000 RARE Cards
Collect 10000 RARE Cards
Collect 100000 RARE Cards
Collect 5 EPIC Cards
Collect 50 EPIC Cards
Collect 500 EPIC Cards
Collect 5000 EPIC Cards
Collect 50000 EPIC Cards
Collect 5 LEGENDARY Cards
Collect 25 LEGENDARY Cards
Collect 50 LEGENDARY Cards
Collect 100 LEGENDARY Cards
Collect 250 LEGENDARY Cards
Destroy 10 Mana Veins
Destroy 100 Mana Veins
Destroy 1000 Mana Veins
Destroy 10000 Mana Veins
Destroy 100000 Mana Veins
Destroy 10 Beacons
Destroy 100 Beacons
Destroy 1000 Beacons
Destroy 10000 Beacons
Destroy 100000 Beacons
Destroy 100 Statues
Destroy 1000 Statues
Destroy 10000 Statues
Destroy 100000 Statues
Play 10 Duels
Play 100 Duels
Play 1000 Duels
Play 10000 Duels
Play 100000 Duels
Deal 10000 Damage in Battle
Deal 100000 Damage in Battle
Deal 1000000 Damage in Battle