Here is the full list of all 53 Beautiful Mystic Survivors achievements.
Defeat 400,000 enemies
Craft 200 potions with Sophia
Defeat a final boss with Ciara
Defeat a final boss with Isaya
Defeat a final boss with Cassandra
Win the first level with 3 different characters
Defeat 200,000 enemies
Survive 16 minutes with Isaya
Defeat level 2 final boss 3 times
Win 5 times
Defeat a final boss with Rosaline
Defeat level 2 final boss 2 times
Use special abilities 250 times
Survive 16 minutes with Cassandra
Evolve Shield 3 times
Survive 16 minutes with Ciara
Complete 6 secret shrine or cursed shrine challenges
Defeat 100,000 enemies
Survive 16 minutes with Rosaline
Walk 10,000 meters with the Fire Boots
Level up the Holy Pedant to level 4
Rescue Ciara
Defeat the first boss of level 2
Complete 3 secret shrine or cursed shrine challenges
Defeat level 2 final boss
Rescue Melisandre
Use special abilities 100 times
Complete secret shrine or cursed shrine challenge
Pickup 100 items from the ground
Collect 5,000 gold in total
Collect 4,000 gold during a single run
Defeat the first boss of level 1 3 times
Use special abilities 50 times
Evolve the Bow
Defeat level 1 final boss
Defeat 20 elite enemies with the Scythe
Reach level 60
Pickup 50 items from the ground
Collect 1,000 gold during a single run
Collect 2,000 gold during a single run
Pickup 30 healing potions
Pickup 10 healing potions
Equip 6 passive items in a single run
Obtain 3 legendary weapons
Pickup 10 items from the ground
Obtain a legendary weapon
Defeat the first boss of level 1
Evolve the Sword
Survive 5 minutes with any character
Equip 6 weapons in a single run
Rescue Minos
Beat level 3 with Minos
Kill 5000 enemies with Minos' active ability