Here is the full list of all 53 Atelier Escha & Logy: Alchemists of the Dusk Sky DX achievements.
Started Logy's story.
Escha saw Logy off with a smile.
Completed Escha's story.
Challenged the king of dragons, and proved humanity's worth.
Read a difficult reference book with Lucille.
Destroyed the giant device used by a girl.
Saved the girl's soul bound to Geosis.
Defeated the giant alchemic creature in the Unexplored Ruins, and found the ruin's secret.
Watched Linca's reunion.
Witnessed Micie's elegant shopping.
Participated in Duke's eating contest.
Saw the "Ends of the Earth" with Awin.
Cleared and reported 9th term assignment.
Reached alchemy level 50. You're now an expert!
Completed a true airship.
Cleared and reported 8th term assignment.
Cleared and reported 7th term assignment.
Gathered lithograph fragments, and discovered an ancient legend.
Built a basic airship.
Logy retook his dreams with Escha's support.
Cleared and reported 6th term assignment.
Cleared and reported 5th term assignment.
Destroyed the Slag guarding the ruins interior.
Harvested apples with Nio and Clone.
Watched Duke and Colland's manly struggle.
Planned for the future with the development team.
Cleared and reported 4th term assignment.
Eliminated the behemoth living at the water spring.
Witnessed the twilight survival instinct of Escha.
Cleared and reported 3rd term assignment.
Acquired a worn down air balloon. You became an alchemist of the sky…maybe.
Cleared and reported 2nd term assignment.
Found out that Wilbell is a real magician.
Cleared and reported 1st term assignment.
Escha and Logy's new life begins.
Started Escha's story.
All Achievements acquired.
Completed Logy's story.
Learned Logy was greatly injured in a past accident.
Saw an unexpected side of Threia and Marion.
Fell victim to a classic ruins trap with Reyfer.
Encountered Katla and Harry's fateful meeting.
Encountered Solle and Colland's awkward meal.
Fulfilled an important promise.
Journeyed to the Ends of the Earth with Awin.
Helped Threia with her research.
Went on a search for treasure with Reyfer and Harry.
Helped Lucille save people on the frontier.
Decided to work with Linca and Marion in the development team.
Saw the complete girl's association.
Saw the complete men's association.
Reached combat level 99. Are there any worthy foes left?
Stopped Flameu after she released her true power.