There are 44 Trophies that can be collected.

Bronze

First in our Hearts
Cleared Generation 1.

Second to None
Cleared Generation 2.

Fleet of Foot
Raise your AGI over 50!

Stout of Heart
Raise your VIT over 50!

Strong of Body
Raise your STR over 50!

Sound of Mind
Raise your INT over 50!

Stroke of Luck
Raise your LUK over 50!

It's a Trap!
Captured a monster.

Ch-Ch-Ch-Ch-Changes
Converted an item.

It Happens to a Lot of Guys
Nope, he did it again.

It's the Only Way to be Sure
Defeated an opponent with an Overkill.

It's My Specialty
Successfully executed a Special Art.

Monstrous
Combined monsters.

Nirvana…?
Created a marionette.

Stay Classy, Kraltarla
Change your class. This takes a special item…

Til You Drop
Went shopping 500 times.

Certified Pre-Owned
Sold 1000 items.

Spoils of War
Earned 25,000,000 G.

Enhance! Enhance!
Earned 25,000,000 EP.

Point Technician
Earned 10,000 TP.

Homeowner
Got your first title!

Profilific
Unlock all profiles.

Silver

Better Safe Than Sorry
Overkilled 500 enemies.

Fight in the Shade
Defeated 10,000 enemies.

Love is a Battlefield
Engaged in 2,500 battles.

Real Soviet Damage
Dealt 10,000,000 points of damage.

You're Already Dead!
Try and get a hit count of 650.

You're En Good Hance
Enhanced items over 5,000 times.

Landlord
You have more than 100 titles.

David Attenborough
Completed the monster picture book.

Gold

Monarch
You have all the titles. Good work!

Platinum

Record of Agarest War Zero Platinum Trophy
Earn all other trophies.

15 Secret

http://www.ps3trophies.com/forums/trophy-news/62901-record-agarest-war-zero-trophy-list.html