Here is the full list of all 51 Disgaea 4 Complete+ achievements.
Defeat Tyrant Overlord Baal in the Land of Carnage. "Whosoever unlocks this achievement shall possess the title of Tyrant Overlord."
Defeat Pringer X in the Land of Carnage. "Pringer X is back, baby!"
Watch every special skill animation.
Train 100 times.
Clear the Time Leap story. "Brave warrior, hear my voice... Become the skyward sword that pierces the darkness, and crush my enemies!"
Clear the Fuka & Desco Show. "Final Formation! We are Tri-Angels!"
Clear the Flashback Episode. "Demon trapped in fire, I shall temporarily free your chaotic soul. Now! Become my power!"
Explode ten Prinnies in a row.
Win the Netherbattle Tournament. "I want my own catchphrase."
Defeat Prinny Kurtis in the Post-Game and make him an ally. "Can you handle Mach 5!?"
Open all treasure chests in the base.
Defeat God (self-proclaimed). "Infernal demon, follow my order and present your vile soul!"
Have characters of every rank of every creatable class.
Clear all X-Dimension stages. "You've conquered Dimension X!"
Max out an item's level.
Defeat Zetta in the Post-Game and make him an ally. "I'll show you what a real strategy RPG is all about!"
Destroy the Axel statue in battle.
Defeat Asagi in the Post-Game and make her an ally. "I'll show you my Super Miracle Heroine Powers!"
Go to the Land of Carnage and regret it.
Clear 30 floors in the Item World.
Defeat Laharl in the Post-Game and make him an ally. "Taste the power of Overlord Laharl!"
Defeat Etna in the Post-Game and make her an ally. "Look at my body and drool!"
Defeat Raspberyl in the Post-Game and make her an ally.
Defeat Archangel Flonne in the Post-Game and make her an ally. "Chaos sucks! Guardian of justice, Justice Flonne!"
Defeat Axel in the Post-Game and make him an ally. "Axel, on staaage!"
Inflict 100,000 damage.
Get over 100,000,000 HL.
Persuade by force 3 times.
Watch Fenrich's epilogue. "All is for my Lord."
Watch Fuka's epilogue. "Come, iron roc!"
Watch Desco's epilogue. "Cretins...bow down and worship me! For I am Desco!"
Watch Emizel's epilogue. "Wandering messenger of twilight, show me the ways of this world!"
Clear the main story, and begin the Post-Game.
Watch Artina's epilogue. "Mother of the sublime glow, bring purity to the swirling evil!"
Clear Ep. 9: The Moon, Earth, and the Promise!
Clear Ep. 8: Final Boss vs. Final Boss.
Clear Ep. 7: Tyrant vs. President.
Clear Ep. 6: The A-Virus Pandemic.
Clear Ep. 5: The Angel of Avarice.
Capture an enemy.
Max out the Rosen Queen Co. customer level.
Clear Ep. 4: Death Emizel's Death.
Clear Ep. 3: Enter the Final Weapon.
Clear Ep. 2: Prinny Wars.
Clear Ep. 1: Rebels of Hades.
Lose a battle.
Start a new game by selecting...New Game.
Inflict 10,000,000,000 damage.
Collect all types of items.
Collect all Pirate Ship parts.
Complete all other achievements.