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