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