There are 51 Trophies that can be collected.

Bronze

Man's best friend    
Kill 10 enemies with Mors' dog in skinchanger mode    

True warrior    
Kill 400 enemies    

Merciless    
Mete out 5 deathblows

Master-at-arms    
Learn all skills within a character's stance tree    

Master of light and flame    
Master of light and flame    

Clever dog    
Gain all the skills linked to the dog with Mors

Silver

Fetch!    
Use Mors' dog's sense of smell to find 5 secret objects    

R'hllor sees all    
Find 10 secrets with the vision of R'hllor    

Golden touch    
Acquire 1 golden dragon

Great teamwork    
Finish the game without a single ally (except Mors and Alester) being KO'd    

Warlord    
Reach the maximum level

Gold

Thorough    
Complete all the secondary objectives of the story

Platinum

Platinum trophy    
Earn all the trophies in Game of Thrones

38 Secret

Bronze

Winter is coming    
Finish chapter 1    

Family is hope…    
Finish chapter 2    

Dark wings, dark words     
Finish chapter 3    

Hear me roar    
Finish chapter 4    

Proud to be faithful    
Finish chapter 5    

Dead men sing no songs    
Finish chapter 6    

Here we stand    
Finish chapter 7    

Family, duty, honor    
Finish chapter 8    

Unbowed, unbent, unbroken    
Finish chapter 9    

Fire and blood    
Finish chapter 10    

Come try me    
Finish chapter 11    

As high as honour   
Finish chapter 12    

Growing strong    
Finish chapter 13    

Valar morghulis     
Finish chapter 14    

The night is dark…    
Finish chapter 15    

Red priest of R'hllor    
Finish Alester's story    

Sworn brother     
Finish Mors' Story    

Disciplinarian     
Chapter 1: confront the four recruits during the training session with Mors    
 
Know your place    
Chapter 2: protect the nobility with Alester    

Man of the people    
Chapter 2: protect the people with Alester    

End of the line    
Chapter 6: don't lose pursuit of the bastard    

Bloodhound    
Chapter 7: find all the corrupt brothers of the Night's Watch

Am I not merciful?    
Chapter 8: save Orys from the City Watch    

Desecration    
Chapter 8: find the key in Alester's father's tomb

'Tis but a scratch!    
Chapter 9: suffer all the physical abuse during the torture sequence

Lesser of two evils    
Chapter 14: come to the aid of the Reapers    

My darkest hour    
Chapter 15: execute the judgement passed down on the Westfords    

The true face of the Spider    
Lose the final battle

Silver

Once more unto the breach    
Chapter 7: attack the camp without killing the sentries at the start

The butcher comes to dinner    
Chapter 9: kill 6 of Lord Harlton's soldiers during the fight at dinner

Swift and deadly    
Chapter 11: bring an end to the trial by combat in under 2 minutes    

Unrivalled strategist    
Chapter 12: take back Riverspring with a total victory    

Quiet as a shadow    
Chapter 13: reach Jeyne's room without ever being seen

The Greatest    
Emerge triumphant in the final arena combat    

Endless watch    
Send 10 recruits to the Wall with Mors    

Collector    
Seize the three objects of value from the Collector with Alester    

Pimp    
Convince Bethany to return to Chataya's brothel with Alester    

Devout follower    
Find all the statues of the Seven

http://www.ps3trophies.org/game/game-of-thrones/trophies/