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