Here is the full list of all 27 Kamiko (JP) trophies - there are 12 bronze, 8 silver, 6 gold and 1 platinum.
Achieved all trophies
Destroyed 1500 objects in one save data
Killed 3000 enemies in one save data
Unlocked Sound mode
Cleared playing Hinome
Cleared the game within 30mins for each of the 3 playable characters within the same save data
Cleared the game with no damage
Chained 100 combos
Unleashed all 3 of the playable characters' Special Attacks in one save data
Cleared game within 30mins
Didn't use Continue to clear the game
Cleared playing Uzume
Found secret item "Doll"
Found all secret items within the same save data
Found secret item "Crow"
Found secret item "Hamburger"
Found secret item "Sushi"
Cleared playing Yamato
Cleared "The Ruins of Yamataikoku"
Have a playable character with max stats of HP12 and SP400
Cleared "The Scorching Labyrinth"
Cleared "The Sunken Relics"
Cleared "The Forest of Awakening"
Opened 4 "gates between worlds"
Broke a seal to a "gate between worlds" for the first time
Defeated 15 enemies in one stage
Pressed the switch to open the first door