Here is the full list of all 51 Ninja Gaiden Σ trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Collect all trophies.
Be a Hero 100 times.
Get Master on all chapters on Master Ninja.
Get Master Ninja on all chapters on Very Hard.
Get Master Ninja on all chapters on Hard.
Get Master Ninja on all chapters.
Finish all chapters of the game on Master Ninja.
Get platinum coins in all Ninja Trials.
Clear Unearthed Challenge and Eternal Legend.
Get coins in all Ninja Trials.
Use Sorcery successfully 100 times.
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.
Use Ice Storm successfully 100 times.
Clear the trials from Unrivaled Meeting to Secrets of Shooting.
Get 50,000,000 Karma.
Use the Guillotine Throw on 100 enemies.
Clear all Ninja Tutorials and Path to the Ultimate Ninja.
Defeat 500 enemies with Rachel.
Finish all chapters of the game on Hard.
Finish all chapters of the game on Very Hard.
Finish all chapters of the game.
Kill every enemy in all Ambushes.
Find all Team NINJA logos.
Obtain all scarabs.
Use Inazuma successfully 100 times.
Defeat 1000 enemies with the War Hammer (Hayabusa).
Defeat 1000 enemies with the Wooden Sword/Unlabored Flawlessness.
Defeat 1000 enemies with the Kitetsu.
Defeat 1000 enemies with the Lunar Staff.
Defeat 1000 enemies with the Vigoorian Flail.
Use Inferno successfully 100 times.
Use Fire Wheels successfully 100 times.
Defeat 1000 enemies with the Dual Katana.
Defeat 1000 enemies with the Dragon Sword.
Defeat 1000 enemies with the Dabilahro.
Completed Chapter 15.
Hold 99,999 Yellow Essence.
Obtain 30 scarabs.
Get 10,000,000 Karma.
Kill every enemy in 6 Ambushes.
Completed Chapter 10.
Use the Izuna Drop on 100 enemies.
Defeat 100 enemies with projectile weapons.
Obtain 10 scarabs.
Completed Chapter 5.
Kill every enemy in an Ambush.
Use the strongest Ultimate Technique on 100 enemies.
Obtain a scarab.
Completed Chapter 1.