Here is the full list of all 38 Chrono Cross: The Radical Dreamers Edition trophies - there are 20 bronze, 13 silver, 4 gold and 1 platinum.
Acquire all trophies.
Wake up after having cleared the labyrinth for the first time in the dream.
Re-visit the labyrinth in Fort Dragonia—this time, for real.
Defeat Lynx at Fort Dragonia.
Defeat Dark Serge at Fort Dragonia.
Use the Dragon God relics at the Dead Sea Ruins to enter the Sea of Eden.
Arrive in Chronopolis, the Time Fortress.
Defeat FATE, the mother computer of Chronopolis.
Obtain Chrono Cross, the rainbow-aligned Element.
Defeat the evolved form of the Time Devourer.
See the good ending.
See the bad ending.
See Ending 1: The Developers' Room.
See Ending 2: The Acacian Empire.
See Ending 3: The Magical Dreamers.
See Ending 4: The Shop Staff and the Three Unlikely Heroes.
See Ending 5: The Rebirth of Marbule.
See Ending 6: The Last Stand.
See Ending 7: The Viper Orphanage.
See Ending 8: The Dark Fate.
See Ending 9: The Dragon God's Revenge.
Flee from a battle.
Use Serge's unique level 7 tech, Flying Arrow.
Use Kid's unique level 7 tech, Hot Shot.
Use Lynx's unique level 7 tech, Forever Zero.
Use Harle's unique level 7 tech, Lunairetic.
Use the triple tech Delta Force.
Use the triple tech Z-Slash.
Triumph in 500 battles.
Use the Chrono Cross item to recruit all party members.
Create a rainbow weapon.
Create a piece of rainbow armor.
Defeat Dario and reforge Serge's Sea Swallow into the Mastermune.
Collect all 15 types of window frame.
Successfully feed the dragons 100 times in the dragon-feeding mini-game.
Complete the Grand Slam.
Get 10,000 points in the compass roulette mini-game.
Obtain 99 level-growth stars.