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