There are 51 Trophies that can be collected.

Bronze

You Go To Hell    
Start a new game for the first time. (any difficulty setting)    

Take Me To Hell    
Story Progression in Act 2 – Chapter 1 (any difficulty setting)     

Cannibal Carnival    
Story Progression in Act 2 – Chapter 2 (any difficulty setting)     

What a Wonderful World    
Story Progression in Act 2 – Chapter 3 (any difficulty setting)    

Riders of the Lost Heart    
Story Progression in Act 2 – Chapter 4 (any difficulty setting)     

It's a Bughunt    
Story Progression in Act 3 – Chapter 1 (any difficulty setting)     

My Dying Concubine    
Story Progression in Act 3 – Chapter 2 (any difficulty setting)    

Great Demon World Village    
Story Progression in Act 4 – Chapter 2 (any difficulty setting)     

Ghost Hunter    
Story Progression in Act 4 – Chapter 3 (any difficulty setting)    

Great Demon World Forest     
Story Progression in Act 4 – Chapter 4 (any difficulty setting)     

Suburban Nightmares    
Story Progression in Act 4 – Chapter 5 (any difficulty setting)     

Justine For All    
Story Progression in Act 4 – Chapter 6 (any difficulty setting)     

Twelve Feet Under    
Story Progression in Act 5 – Chapter 1 (any difficulty setting)     

Different Perspectives    
Story Progression in Act 5 – Chapter 2 (any difficulty setting)    

The Castle of Hassle    
Story Progression in Act 5 – Chapter 3 (any difficulty setting)     

The Final Chapter    
Story Progression in Act 5 – Chapter 4 (any difficulty setting)

Adios George (Human form)    
Defeat George Human Boss     

Adios George (Beast form)    
Defeat George Beast Boss     

Don't Fear the Reaper 1    
Defeat Maras Grim (Sister Grim) Boss     

Don't Fear the Reaper 2    
Defeat Kauline Grim (Sister Grim) Boss     

Annoying Mosquito    
Defeat Elliot Beast Boss     

Don't Fear the Reaper 3    
Defeat Giltine Grim (Sister Grim) Boss     

Flat Lust    
Defeat Justine Boss

Lemon Hunter    
Complete all chapters on Easy difficulty setting

Blood On The Dance Floor    
Defeat 10 enemies with the Stomp Attack     

The Talkative One    
Defeat 20 enemies with the TEETHER    

Meatballs Lover    
Defeat 30 enemies with the SKULLCUSSIONER     

That's So Hot!    
Defeat 20 enemies with the HOTBONER     

The Orthodontist    
Defeat 30 enemies with the TEETHGRINDER     

Now That's a Big Fuckin' Gun    
Defeat 40 enemies with the SKULLFEST 9000

Orthodontic Pleasures    
Defeat 50 enemies with THE DENTIST     

Skullblaster Master    
Defeat 50 enemies with the SKULLBLASTER     

Nasty Headache    
Perform 5 Head Shots in a row with any weapon except Big Boner

Fire in the Hole!    
Defeat 3 enemies at once using the Barrels of Light     

Fiesta Caliente!    
Defeat 5 enemies at once using the Hot Boner     

Trash'em while they're out!    
Perform all 5 brutal kills on Normal Demons frozen by the Light Shot     

Drunk in Public    
Knock back 3 drinks in a row     

Stingy Bastard    
Save more than 300 White Gems in your inventory

Silver

Til Death Do Us Part    
Story Progression in Act 5 – Chapter 5 (any difficulty setting)

I Defeated the Last Big Boss!    
Defeat Fleming Boss

Demon Hunter    
Complete all chapters on Medium difficulty setting

A Hole in your Head    
Perform 5 headshots in a row with the BIG BONER

The Puppeteer    
Perform a Head Shot right after a Leg Mutilation when the enemy is flying back in the air

Gold

Legion Hunter     
Complete all chapters on Hard difficulty setting

High in Las Vegas    
Recover all available Red Gems in the game.

Platinum

Fleming's Pride    
Complete all game's Trophies

1 Secret

http://www.ps3trophies.org/game/shadows-of-the-damned/trophies/