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