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