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