There are 25 Trophies that can be collected.

BRONZE

Digital Dojo
Complete all of the in-game tutorials

SILVER

Sure Lock
Find Taper in less than 4 guesses

Flash Knock Out
After the initial Vic Viper battle, defeat all of the Naritas in under 90 seconds

Derailed
Defeat the train in less than 5 minutes

Crushing Victory
Defeat an enemy by using the shafts at Fort City

Quick Draw
Defeat the 5 BAHRAM Battleships in less than 6 minutes

The Good Rescuer
Earn a Ranking of SS at Vascilia Battle

nEXt Mission
Find all 20 Ex-Missions

GOLD

The Great Rescuer
Earn a Ranking of SS at Aumaan Crevasse

Frame Collector
Unlock all the frames

PLATINUM

Desperately Seeking Dingo
Collect all trophies

14 SECRET

http://www.ps3trophies.org/game/zone-of-the-enders-2-hd/trophies/