Here is the full list of all 30 Arc of Alchemist trophies - there are 12 bronze, 11 silver, 6 gold and 1 platinum.
Reached the end of the game.
Defeated the automaton generated by the ruin's defense system.
Defeated the high-level automaton wandering Genesis Desert.
Defeated the automaton guarding a very important facility.
Conducted an Orb combination move.
Gained all Orbs.
Built a higher ranked facility.
Gained plenty of mechanical parts in a single expedition.
Got rid of the automaton guarding the way to the center of Genesis Desert.
Learned an ability.
Defeated the automaton at the windy cliff.
Activated plenty of adjacent facility bonuses.
Used a special move in tandem with an ally.
Used a special move 10 times.
Opened a treasure chest 5 times.
Made a camp site.
Activated an adjacent facility bonus.
Defeated the automaton lurking in the dungeon.
Collected from collection points 10 times.
Gained all Trophies.
Reached the true end of the game.
Raised Quinn's level to 100.
Raised everyone's level to 100.
Max invested into one type of facility.
Raised a facility's rank to max.
Raised the rank of all facilities at your base to max.
Strengthened a camp site to max level.
Gained 5 powerful weapons.
Used an HP healing item 20 times.
Recover a great amount of HP using items in a single expedition.