There are 51 Trophies that can be collected.

Bronze

Basic Training
Complete the Answers level of the Campaign

Dig Two Graves
Complete the Beasts level of the Campaign

A Thorne in their Side
Complete the Stormfront level of the Campaign

Star Power
Earn 20 Stars

Offline Celebrity
Earn 40 Stars

Citronella Armor
Win a complete game of Swarm without dying on Medium or harder difficulty

Against All Odds
Win a complete game of Swarm

Swarmaholic
Win a ranked match on each map in Swarm

Cheetah
Finish the obstacle course in the Answers level of the Campaign in under 53 seconds

Conquistador
Win a complete game in Conquest

Loud Cartographer
Win a ranked match in each map group in Conquest

Face Melter
Kill an enemy with the Siphon Tool

Falling with Style
Kill an enemy by dropping on them

Napalm in the Morning
Kill 2 enemies at the same time with Incendiary damage

'Til It Goes Click
Kill 3 enemies in a row with the Machine Gun without reloading

Spice of Life
Kill an enemy with each weapon type

The Old One-Two Punch
Kill an enemy with any weapon after hitting them with a Grenade

Can I Take Your Pulse?
Kill 20 enemies with the Pulse Cannon

Close-Quarters Specialist
Get 20 Defenses or Denials with the Shotgun

That's Assault, Brotha
Kill 5 enemies in a game with the Assault Rifle from over 100m away

Demolition Man
Destroy 32 Structures with the Missile Launcher

Mortardom
Destroy 5 Vehicles with Mortars

Knife to Meet You
Fatality an enemy with the Knife

Natural 20!
Kill 20 enemies with headshots using the Sniper Rifle

It's a Trap!
Destroy an enemy Detpack

Garbage Day!
Complete a ranked match with the highest Combat score using only the Pistol (12 or more players)

Moving Violation
Kill an enemy by colliding with them using the Bike

Duck Hunt
Kill 10 enemies with the Deployable AA Turret

Backseat Driver
Kill an enemy with any secondary Vehicle seat

I'm the Juggernaut…
Kill an enemy by colliding with them while Overdriving

Movin' On Up
Reach level 2 in ranked matches

Warmed Up
Win a ranked match

Feat-tastic
Earn each Feat in ranked matches

Fashionista
Customize your armor type

Get to da Choppa
Survive against the Elimination DCM

Oh, the Irony
Repair a Supply Depot to full health

Money in the Banana Stand
Purchase every Vehicle and Deployable

Silver

Mission Accomplished 2.0
Complete the Campaign on any difficulty

Use More Gun
Defeat the Vehicle Engineer in the Prejudice level of the Campaign before he deploys a Mech

Disconnected Superstar
Earn 60 Stars

In the Membrane
Win a complete game of Swarm on Insane difficulty

Exterminator
Win a game on each map in Swarm on Hard or Insane difficulty

Millennium Club
Kill 1000 enemies

32 Pieces of Flair
Earn each Badge in ranked matches

Were They Even Trying?
Win a ranked match while holding the enemy team to less than half your team's VP

Gotta Cap 'Em All
Capture each Control Point at least once in a game on a large map

Mission Possible
Participate in each DCM successfully in ranked matches

Gold

Battle-Hardened
Complete the Campaign on Hard difficulty

Like a Boss
Reach level 50 in ranked matches

Platinum

General E. Impressive
Earn all available Trophies for Section 8: Prejudice

1 Secret

Bronze

My Little Friend
Kill an enemy with a Micro Beacon

http://www.ps3trophies.com/forums/ps3-trophy-news/65622-section-8-prejudice-trophy-list.html