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