There are 12 Trophies that can be earned in this title.

Bronze

A Head of the Competition
Decapitate 100 enemy warriors as the primary player.

Pin Cushion
Stick 4 projectiles in a single opponent as the primary player.

Against All Odds
Defeat 25 warriors in Survival Mode as the primary player.

Flesh Wound
Perform a final strike on an opponent after your arm has been sliced off as the primary player.

On Death's Door
As the primary player, kill and opponent while at critical health, with your leg and arm injured.

Right on Time
Perform only perfectly timed strikes to defeat an enemy as the primary player.

Shishkabob
Remove an enemy's head with a projectile and stick it into a wall as the primary player.

Who's Deadliest Now?
Defeat Arcade mode on the Deadliest difficulty as the Ninja, the Viking, and the Knight.

Silver

That Was Sparta!
Kill 300 Spartans as the primary player.

Tournament to Kill
Win 10 online tournaments as the primary player.

Black Knight
Remove all four limbs from the Knight during a single match as the primary player.

Gold

Deadliest Arsenal
Unlock every weapon and armor available for every warrior as the primary player.

http://www.ps3trophies.org/game/deadliest-warrior-the-game/trophies/