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