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