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.
Saved up 100,000 Cole.
Given a challenge by Plachta.
Finished the battle, and returned to the atelier.
Defeated Luard.
Raised friend level of all party members to maximum.
Unleashed a special attack.
Walked in on Horst playing the piano.
Witnessed Logy find new determination.
Got good at playing the piano.
Cauldron of Knowledge stolen by Meklet and Atomina.
Saw Elise without her glasses on.
Reached maximum alchemy level.
Defeated Nazarus.
Changed Plachta's appearance.
Satisfied Plachta during Doll Making.
Saw Oskar carrying Monika in his arms.
Enjoyed Monika's concert.
Harol showed you the repaired clock.
Enjoyed a waterside vacation with Leon.
Reached maximum adventurer level.
Went on a date with Tess.
Found out the machine box is a music box.
Reached maximum Request rank.
Put on a new outfit.
Turned Plachta into a doll.
Received a present.
Failed to turn Plachta into a human.
The donation to church reach the target figure which makes Pamela very happy.
Found the identity of the voice in the cabin.
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.
Slept for 3 whole days.
Purchased a rumor.
Inspected a barrel.
Defeated a Puni in your first battle.
Met Plachta.