Here is the full list of all 41 SoulCraft achievements.
Equip an Item in every Slot
Purchase a Mystery Chest
Kill 100 Enemies
Defeat Toxurr the Chemist
Defeat Morrus the Butcher
Reach Level 5
Learn a new Skill
Craft an Item
Defeat your first wave of enemies
Revive your Character
Adopt a Pet Companion
Equip a Character Skin
Reach Level 10
Reach Level 20
Reach Level 35
Reach Level 50
Collect 100.000 Souls
Collect 500.000 Souls
Collect 1.000.000 Souls
Kill 500 Enemies
Kill 1000 Enemies
Collect 200 Essences
Consume 30 Potions
Equip an Item of Rare (blue) quality in every Slot
Equip an Item of Legendary (yellow) quality in every Slot
Learn 5 Skills
Learn 10 Skills
Learn 20 Skills
Defeat Pyron the Destroyer
Defeat Shakkur the Assassin
Defeat the Broodmother
Defeat Earthshaker Lyrruth
Defeat Shruthar the Deceiver
Win a Hard Difficulty Quest
Win a Very Hard Difficulty Quest
Win an Insane Difficulty Quest
Win a Hard Difficulty Quest without using a Potion or Revive
Win a Very Hard Difficulty Quest without using a Potion or Revive
Win an Insane Difficulty Quest without using a Potion or Revive
Make an enemy die in a Toxic Pool
Let an enemy die in a Snapper Explosion