Here is the full list of all 12 Cybxus Heart (JP) trophies - there are 11 gold and 1 platinum.
Get every trophy
Play game in Amber only mode
Play game in Topaz only mode
Play game in Ruby only mode
Defeat last boss, Beryl
Defeat third boss, Heliodor
Defeat second boss, Emerald
Collect power bonuses and get to 100% power
Collect bonus on stage that gives you extra life
Defeat first boss, Garnet
Continue game after game over
Use bomb