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