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