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