Here is the full list of all 45 Atelier Sophie: The Alchemist of the Mysterious Book DX trophies - 34 bronze, 6 silver, 4 gold and 1 platinum.
Congratulations! You have collected all trophies.
Learned every single recipe.
Defeated the Demon Lord.
Defeated the Light Elemental.
Defeated Yasuk.
Defeated Dorak.
Saved up 100,000 Cole.
Raised friend level of all party members to maximum.
Received a challenge from Plachta.
Finished the battle and returned to the atelier.
Defeated Luard.
Witnessed Logy find new determination.
Enjoyed a waterside vacation with Leon.
Saw Elise without her glasses on.
Reached maximum alchemy level.
Went on a date with Tess.
Saw Pamela being happy about church reaching its donation goal.
Enjoyed Monika's concert.
Cauldron of Knowledge stolen by Meklet and Atomina.
Saw Oskar carrying Monika in his arms.
Harol showed you the repaired clock.
Reached maximum Request rank.
Reached maximum adventurer level.
Defeated Nazarus.
Found out that the machine box is a music box.
Walked in on Horst playing the piano.
Satisfied Plachta during Doll Making.
Changed Plachta's appearance.
Received a present.
Unleashed a special attack.
Put on a new outfit.
Turned Plachta into a doll.
Slept for 3 whole days.
Got good at playing the piano.
Failed to turn Plachta into a human.
Enhanced a weapon or armor.
Found the identity of the voice in the cabin.
Registered an item at the duplication shop.
Crafted a weapon or armor.
Was saved by a mysterious person.
Something bad happened while traveling.
Purchased a rumor.
Defeated a Puni in your first battle.
Inspected a barrel.
Met Plachta.