There are 28 Trophies that can be collected.

Bronze

Operation Overkill    
Got an Overkill.   

How Striking    
Got an Ultimate Strike.   

Consume! CONSUME!    
Went shopping 500 times.    

Shook the Invisible Hand    
Sold 100 items.    

To Sleep, Enhance to Dream…    
Enhanced 100 times.    

Born Again    
Performed a conversion.    

Any Quest-ions?    
Reported the completion of a commission at the Hunter's Guild in Frensberge.    

Come At Me, Bro    
Uploaded a score to the Score Rankings.    

Pulled Some Strings    
Created a Marionette.    

You Strong Me Along    
Reached 99 STR!   

Been to Health and Back    
Reached 99 VIT!    

Nice Guys Finish Fast    
Reached 99 AGI!    

View to a Skill    
Reached 99 DEX!    

Coming of Mage    
Reached 99 INT!    

Working in a Coal Mind    
Reached 99 MND!    

I Am the 1%    
Collected more than 1,000,000 G.    

I Could Get Technical, but What's the Point?    
Collected over 10,000 TP.    

Primus    
Finished the first generation.    

Secundus    
Finished the second generation.    

Tertius    
Finished the third generation.

Silver

Casanova    
Had max affection with one of the heroines at the end of a generation.    

Corpse Party    
Defeated 1,000 enemies.    

He's Dead, Jim    
Dealt 100,000 points of damage at once.    

The Hits Just Keep On Coming    
Did 300 hits in one attack.    

At a Boss for Words    
Defeated 4 mid-bosses.    

Bossed and Found    
Defeated 8 mid-bosses.    

Paradise Bossed    
Defeated 12 mid-bosses.

Gold

Kill-o-Battle    
Finished 1000 battles.    

Guildy Conscience    
Completed all guild quests.

9 Secret

Bronze

Get Your Deem On    
[Event] Defeated the Garvel.    

Vannessgeance!    
[Event] Defeated Vanessa's demon.    

More Like DEADaos    
[Event] Defeated Danaos.    

Agrajag    
Defeated Summeril in the third generation.

Silver

Holy Matri-Chloe    
Chloe got married!    

Living in Cynthia    
Cynthia got married!

Gold

Is it Mobi-I or Mobi-Us?    
Terminated True Mobius with extreme prejudice.    

Ian Malcom    
Terminated True Chaos with extreme prejudice.

Platinum

Collect ALL the Trophies!    
Acquired all trophies.

http://www.ps3trophies.org/game/record-of-agarest-war-2-english/trophies/