Here is the full list of all 38 Pier Solar and the Great Architects trophies - there are 24 bronze, 8 silver, 5 gold and 1 platinum.
Received all trophies.
Bought all items available in the shops.
Discovered a fragment of another world in yours.
Completed the game fighting only the mandatory battles.
Became a slippery game god.
Mastered the slippery game.
Won 600 battles.
Did not give up on hope and fought for a better future.
Gave up on hope and sacrificed yourself for a better future for your friends.
Defeated Bethina.
Defeated Kleoneo.
Found all Sega Genesis cartridges.
Defeated Cliboe.
Equipped the best possible items on your characters.
Collected all the treasures from all chests.
Completed Arburus side-quest.
Defeated Sasheer.
Found all master keys.
Found all spells that can be learned.
Won 300 battles.
Defeated Ironhart.
Defeated the giant spider.
Finished professor Myer's trials.
Used an ability that requires level 5 gather.
Defeated the bakery chef.
Defeated the Metal Robot at Timpo factory.
Defeated the Ludon excavation guardian.
Defeated Ryan the lion.
Solve the puzzle in Alina's dream on your first attempt.
Defeated the monster living in Teusa.
Unlocked the sound test.
Won 100 battles.
Defeated the Crab at the sanctuary.
Defeated the cave guardian.
Helped a hunter in his rabbit hunt.
Helped the bounty hunter to retrieve his treasure.
Won your first battle.
Enriched your knowledge by doing tutorials.