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