There are 43 Trophies that can be collected.

Bronze

We Are the Champions, My Friend    
Win the Tournament of Ecry.    

A Templar Rides into a Forest…    
Clear 'Forest Roads' in any difficulty setting.

Make the Voices Stop    
Clear 'The Fall of Zara' in any difficulty setting.    

A Change of Perspective    
Clear 'The Capitolium' in any difficulty setting.    

Innocent Blood    
Defend Constantinople's civilians!    

Demon Slayer    
Clear 'Hagia Sophia Basilica' in any difficulty setting.    

Unstoppable    
Perform a 50 hit combo.    

End of the Chain    
Perform a 100 hit combo.    

Deflection Master    
Deflect 30 attacks with the Deflection Counter!

That Man's On Fire    
Acquire the power Purifying Fire!    

Roar of Flames    
Acquire the power Roaring Flames!    

Maelstrom of Fire    
Acquire the power Fire Maelstrom!    

Live by the Sword    
Master the One-Handed Sword!    

Hatchet Man    
Master the One-Handed Axe!    

Mace Effect    
Master the One-Handed Mace!    

Knight in Shining Armor    
Master the Sword and Shield technique!    

…And My Axe!    
Master the Axe and Shield technique!    

Classic Cleric    
the Mace and Shield technique!    

Overcompensating    
Master the Two-Handed Sword!    

Timber!    
Master the Two-Handed Axe!    

Saint Longinus    
Master the Spear!    

Greek Poetry in Motion    
Master the Spear and Shield technique!    

What's Better Than One Sword?    
Master the Double Sword technique!    

Axes of Evil    
Master the Double Axe technique!    

Blunt Trauma    
Master the Double Mace technique!    

Cutsman    
Master the Sword and Axe technique!    

Offense is the Best Defense    
Master the Sword and Mace technique!    

Unconventional Assault    
Master the Axe and Mace technique!

The Cursed Crusader    
Clear the game on any difficulty setting.

Silver

Slow and Steady    
Clear 'The Road to the Peninsula' without losing any of the soldiers pushing the ballista.

Evasive Maneuvers    
Dodge 30 Guard Breaks!

Strong as a Spanish Cow    
Enhance your character's Strength to its maximum!    

Cursed and Loving It    
Enhance your character's Templar's Curse to its maximum!    

Weapons of Mass Purification    
Enhance your character's Weapon Mastery to its maximum!    

Playing the Tortuga    
Enhance your character's Armor Mastery to its maximum!    

Was That Supposed to Hurt?    
Enhance your character's Constitution to its maximum!

Cross the Crosses    
Find all the Blood Crucifixes!

Gold

Master of War    
Master all the martial techniques!

One-Man Army    
Enhance all of your character's statistics to their maximum!

The Cursed Templar    
Clear the game on the 'Nightmare' difficulty setting.

Gold Before Glory    
Find all the coffers!

Platinum

Symphony of Hell    
Get all the trophies of The Cursed Crusade!

1 Secret

http://www.ps3trophies.org/game/the-cursed-crusade/trophies/