There are 27 Trophies that can be collected.

Bronze

Team Veteran
Complete 'Hydroponics' in Co-op Assault.

Tooling Up
Purchase an upgrade (or witness another player doing this).

Saving the Day
In single player Story mode, save the game using the Intex Terminal.

Silver

Campaign Veteran
Complete all single player levels 1-5.

Fighting Light
Finish any single player level without using an item.

Ain't Got Time to Bleed!
Finish 'Interface' single player level without using health packs.

Hard to Kill
Finish a multiplayer level with no player losing a life.

Knowledge is Power
Collect all logs through out the game.

No Stone Unturned
Find all 'secret' collectibles.

Elite Force
Without the player taking damage kill 50 aliens in single player.

Break a Few Eggs
In single player Story mode, destroy 50 alien eggs using melee.

Pure Pawn
In single player Story mode, sell 10000 credits worth of items or ammunition.

Deadly
Kill 5 aliens with one shot (or witness another player doing this).

Shocking
Stun 5 aliens with one stun grenade (or witness another player doing this).

Gold

Against the Odds
Complete all single player levels 1-5 on elite difficulty.

Break Out the Arsenal
Fire every weapon and use every item in single player.

Cash is King
Achieve a balance of 30000 credits or more.

Massacre
Kill 10 aliens with one shot (or witness another player doing this).

Electrifying
Stun 10 aliens with one stun grenade (or witness another player doing this).

Platinum

The Completionist
Each and every trophy has been awarded. Congratulations!

7 Secret

Bronze

Killing Spree
Within 30 seconds kill 20 aliens in single player.

Born to Kill
Kill 25 aliens in single player.

Vandal
Break the glass in a window (or witness another player doing this).

Just Browsing?
In single player Story mode, spend 30 minutes or more in the Intex Terminal menus.

Tank
In single player Story mode, take 500 damage without dying.

Silver

Xenocide
In single player Story mode, kill one of each type of alien.

Gold

Big Spender
Purchase the Damage upgrade for the Ion Spike.

http://www.ps3trophies.org/game/alien-breed-impact/trophies/