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