Here is the full list of all 55 Omega Quintet (EU) trophies - there are 46 bronze, 6 silver, 2 gold and 1 platinum.
Obtained all trophies.
Defeated 10,000 enemies.
Approval rating exceeded 1 billion.
Aria reached max affection.
Nene reached max affection.
Kanadeko reached max affection.
Kyouka reached max affection.
Otoha reached max affection.
Defeated Double X.
Finished all Quests.
Completed archives.
Cleared the Training Facility [12th Floor].
Cleared the Training Facility [11th Floor].
Cleared the Training Facility [10th Floor].
Cleared the Training Facility [9th Floor].
Cleared the Training Facility [8th Floor].
Cleared the Training Facility [7th Floor].
Maximized proficiency in all 5 Mic types with any one character.
Fulfilled 100 Requests.
Cleared the Training Facility [6th Floor].
Cleared the Training Facility [5th Floor].
Reached the true ending in Advanced mode.
Reached the true ending.
Reached the game's ending.
Finished Episode 9.
Used group defense 100 times.
Finished Episode 8.
Maximum damage exceeded 1 million.
Finished Episode 7.
Defeated 1,000 enemies.
Finished Episode 6.
Maximum hit count exceeded 300.
Maximum damage exceeded 100,000.
Finished Episode 5.
Defeated an enemy with an Extra Chain.
Activated Voltage Gauge Level 5 during Live Concert Mode.
Maximum hit count exceeded 200.
Cleared the Training Facility [1st Floor].
Fulfilled a Request.
Activated Live Concert Mode.
Finished Episode 4.
Maximum hit count exceeded 100.
Maximum damage exceeded 10,000.
Finished Episode 3.
Used pair defense 100 times.
Defeated an enemy with a Harmonic Chain.
Generated a Link Bonus.
Generated a Follow Bonus.
Hunted 10 MADs with Takt's pursuit.
Defeated 100 enemies.
Finished Episode 2.
Succeeded in executing Overkill.
Used the PVS.
Finished Episode 1.
Defeated an enemy with a Special Skill.