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