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