Here is the full list of all 51 [NINJA GAIDEN: Master Collection] NINJA GAIDEN Σ achievements.
Use Inazuma successfully 100 times.
Use Sorcery successfully 100 times.
Use Ice Storm successfully 100 times.
Defeat 1000 enemies with the Dabilahro.
Clear Unearthed Challenge and Eternal Legend.
Get coins in all Ninja Trials.
Clear the trials from Desperation to Giants of the Underworld.
Clear the trials from Secrets of Fighting to Captivating Goddesses.
Obtain 50 coins in Ninja Trials.
Defeat 1000 enemies with the Kitetsu.
Clear the trials from Unrivaled Meeting to Secrets of Shooting.
Get Master Ninja on all chapters.
Finish all chapters of the game.
Find all Team NINJA logos.
Obtain all scarabs.
Kill every enemy in all Ambushes.
Defeat 1000 enemies with the Lunar Staff.
Use Inferno successfully 100 times.
Use Fire Wheels successfully 100 times.
Defeat 1000 enemies with the Vigoorian Flail.
Completed Chapter 15.
Get 50,000,000 Karma.
Obtain 30 scarabs.
Kill every enemy in 6 Ambushes.
Defeat 1000 enemies with the Dual Katana.
Completed Chapter 10.
Use the Izuna Drop on 100 enemies.
Defeat 500 enemies with Rachel.
Defeat 100 enemies with projectile weapons.
Obtain 10 scarabs.
Use the Guillotine Throw on 100 enemies.
Completed Chapter 5.
Defeat 1000 enemies with the Dragon Sword.
Kill every enemy in an Ambush.
Obtain a scarab.
Get 10,000,000 Karma.
Completed Chapter 1.
Clear all Ninja Tutorials and Path to the Ultimate Ninja.
Use the strongest Ultimate Technique on 100 enemies.
Defeat 1000 enemies with the War Hammer (Hayabusa).
Defeat 1000 enemies with the Wooden Sword/Unlabored Flawlessness.
Finish all chapters of the game on Hard.
Finish all chapters of the game on Very Hard.
Finish all chapters of the game on Master Ninja.
Get Master Ninja on all chapters on Hard.
Get Master Ninja on all chapters on Very Hard.
Get Master on all chapters on Master Ninja.
Be a Hero 100 times.
Hold 99,999 Yellow Essence.
Get platinum coins in all Ninja Trials.
Obtained all achievements.