Here is the full list of all 45 Atelier Sophie: The Alchemist of the Mysterious Book achievements.
Collected all trophies.
Learned every single recipe.
Defeated the Demon Lord.
Defeated the Light Elemental.
Defeated Yasuk.
Defeated Dorak.
Given a challenge by Plachta.
Finished the battle, and returned to the atelier.
Defeated Luard.
Reached maximum alchemy level.
Saved up 100,000 Cole.
Raised friend level of all party members to maximum.
Cauldron of Knowledge stolen by Meklet and Atomina.
Saw Oskar carrying Monika in his arms.
Walked in on Horst playing the piano.
Got good at playing the piano.
Witnessed Logy find new determination.
Defeated Nazarus.
Enjoyed a waterside vacation with Leon.
Saw Elise without her glasses on.
Enjoyed Monika's concert.
Harol showed you the repaired clock.
Changed Plachta's appearance.
Satisfied Plachta during Doll Making.
Reached maximum adventurer level.
The donation to church reach the target figure which makes Pamela very happy.
Went on a date with Tess.
Found out the machine box is a music box.
Reached maximum Request rank.
Slept for 3 whole days.
Received a present.
Put on a new outfit.
Unleashed a special attack.
Turned Plachta into a doll.
Enhanced a weapon or armor.
Failed to turn Plachta into a human.
Found the identity of the voice in the cabin.
Registered an item at the duplication shop.
Inspected a barrel.
Saved by a mysterious person.
Something bad happened while traveling.
Crafted a weapon or armor.
Purchased a rumor.
Defeated a Puni in your first battle.
Met Plachta.