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/