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