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