There are 21 Trophies that can be collected.

BRONZE

Intel Analyst
Recover 10 data discs

Electromagnetic Pulp
Kill 20 enemies with the EMP attachment grenade

Multifaceted
Win a multiplayer match on each of the 5 maps

Jormungand
Win a match without dying

Bahamut
Get 5 kills in a row without dying

Megalodon
Get 15 kills in a row without dying

SILVER

Antillia
Complete the Act 1

Dagon
Complete the Act 2

Sargasso
Complete the Act 3

Pescadero
Complete the Act 4

Triton
Complete the Act 5

GOLD

Critical Massacre
Kill 100 human enemies

Depth Charge
Kill 50 drone enemies

Hammer of Vulcan
Kill 5 AD-4 Vulcan Engineers

Pain in the Membrane
Get 50 headshots with any weapon

Open Minded
Get 5 headshots in a row with the Sniper Rifle

Trigger Happy
Kill 50 Shotgunners

Nice Ghoul Like You
Reprogram 10 UD-3 Ghoul Scouts

Up Close and Personal
Kill one of each enemy type with a melee attack

Shotgun Wetting
Get 50 shotgun kills

PLATINUM

Deep Black
Deep Black Platinum.

http://www.ps3trophies.org/game/deep-black/trophies/

I will buy this so I will be up for boosting MP.