There are 33 Trophies that can be earned in this title.

Bronze

Crash test
Complete the first story mission on any difficulty

Eye in the sky
Complete 'The Prisoner' on any difficulty.

Ground support
Complete 'The Rescue' on any difficulty.

Nightvision
Complete 'Thieves in the Night' in any difficulty.

Team play
Complete any story mission in coop.

Spoils of war
Win a Team Battle game.

The way I like it
Create a custom weapon pack.

Rushed
Score 3 kills in 15 seconds in Survival mode.

I, Support
Use 3 different team support abilities.

Engineer
Repair 90 hp by using repair drones.

Nimble
Dodge a total of 100 missiles without using flares in Team Battle games.

Overpowered
Score 5 player kills in a Team Battle game without being shot down.

Bad luck
Reach level 13.

Getting there
Purchase 5 different upgrades for all your planes.

Still counting
Purchase 5 different team support elements for your planes.

Silver

Red is not dead
Complete 'Stand-off' on expert difficulty.

No restrictions
In story mode, fly for 60 minutes in Assistance OFF.

Peripheral vision
Fly faster than mach 2 for 60 minutes in story mode.

Confident
Perform a carrier landing without using the Assisted Approach.

Can I keep it?
Fully master a plane.

Swiss cheese
Shoot down a player while using a plane equipped with 4 gun pods.

Resilient
Complete 5 waves in Survival mode without being shot down.

Copycat
Kill 100 opponents that use the same plane as you in Team Battle games.

Veteran
Participate in 100 Team Battle games.

Nice skill, captain!
Using a Mig-23, shoot down a player flying an F-22.

Coup de grace
Using only the gun, bring down 10 players that have been damaged by your team members.

Who needs them?
Win 10 Team Battle matches while your team is outnumbered.

Gold

Till the end
Complete all story missions on any difficulty.

Going tough
Inflcit 4000 damage on enemy players in a single Team Battle game.

Hard work pays off
Full master 15 planes.

Still alive
Complete any of the Survival mode maps.

Maxed
Reach level 25.

Platinum

Top Gun
Earned all trophies in the game.

http://www.ps3trophies.org/game/hawx-2/trophies/