There are 51 Trophies that can be collected.

Bronze

Knight in Shining Armour    
'Rescue Patty!' completed    

Voodoo Pirate    
'The Ancestors' Blessing' completed    

Liberator    
'Free Hawkins' completed    

Harpooner    
'The Titan Weapon' completed

The Right Hand    
'Chaka Datu's Legacy' completed    

The Hand of God    
'The Greedy Captain' completed    

Provisions Master    
'Ship's Equipment' completed    

Friend of the Gnomes    
'The Gnome Eater' completed    

Tub Captain    
'Build a Raft' completed    

Cheese Knife    
'The Cunning Captain' completed    
 
Necromancer    
'The Split Soul' completed

Blademaster    
Learned everything about blades    

Gunslinger    
Learned everything about firearms    

Rogue    
Learned everything about cunning    

Voodoo Wizard    
Learned everything about voodoo

Tour Guide    
At least 5 crew members on the ship    

Birdbrain    
Used parrot 5 times    

Drunkard    
Won drinking duel mini-game 10 times    

Crack Shot    
Hit 10 times in one game in the shooting mini-game    

Kleptomaniac    
Picked 100 locks    

Digger    
Dug up 50 treasures    

Protector    
Won duel against Severin    

Skinflint    
Acquired 1000 gold

Treasure Hunter    
Found first treasure in the game    

Storyteller    
Collected 10 legendary items    

Legendary Hero    
Collected 20 legendary items    

Beginner    
Killed 10 monsters    

Crab Catcher    
Killed 10 giant crabs    

Deep Sea Fisherman    
Killed 50 sea monsters    

Pet Cemetery    
Killed 20 ambient animals

Just a little tipple…    
Drank first rum

Silver

Captain    
'A New Ship' completed

All-Rounder    
Learned each skill once

Cash Cow    
Acquired 100,000 gold    

Made of Money    
Acquired 300,000 gold

Bane of the Beasts    
Killed 500 monsters    

Big Game Hunter     
Killed 2000 monsters

Gold

Mr Industrious    
Completed 250 quests

Platinum

100%    
Earn all Risen 2 trophies to unlock the platinum trophy

14 Secret

http://www.ps3trophies.org/game/risen-2-dark-waters/trophies/