Here is the full list of all 33 Alchemist: The Potion Monger achievements.
Create a 3 star potion with 4 tier aspect
Discover all Earth Aspects
Have 20 furnitures in your house
Unlock the Black Market
Discover all Air Aspects
Get level 5
Adopt a Salamander
Have 10 furnitures in your house
Adopt a Cat
Defeat the Slime King
Brew a Potion with Air Aspect
Destroy all vines next to your house
Loose all hearts
Break through the vines
Earn 10.000 gold from Contracts
Discover all Fire Aspects
Discover all Water Aspects
Adopt a Turtle
Discover the whole map
Defeat the Snake King
Brew a Potion with Fire Aspect
Brew a Potion with Water Aspect
Defeat the Herbalist
Complete the main quest
Have 7 hearts (6 as a Cat)
Craft 100 potions using Enchanted Paper
Discover 50 Potion Recipes
Earn 10.000 gold from your Shop
Unlock all Portals
Save 10 Auto Potion Recipes
Get level 10
Have 30 furnitures in your house
Cheat death with Resurrect Potion