There are 50 Trophies that can be collected.

BRONZE

Knights Kingdom
Die more than 1 times.

Praetorian
Die more than 10 times.

Gimure
Die more than 30 times.

Valhalla
Die more than 50 times.

Helheim
Die more than 100 times.

Kafra
100000 zeny used in a kafra.

Kafra Chief
500000 zeny used in a kafra.

Valkylia
100000 zeny used in a haberdashery store.

Nibelungen
500000 zeny used in a haberdashery store.

Mjollnir
100000 zeny used in a weapon shop.

Thor's hammare
500000 zeny used in a weapon shop.

Fine hair
10000 zeny used in a hairsalon.

Fine skin
50000 zeny used in a hairsalon.

Drunken
50 pieces potions use.

Spectrolite
Use jobchange system.

10 single quests
Play through 10 quests.(solo only)

20 single quests
Play through 20 quests.(solo only)

50 single quests
Play through 50 quests.(solo only)

10 multi quests
Play through 10 quests.(Online co-op Only)

20 multi quests
Play through 20 quests.(Online co-op Only)

50 multi quests
Play through 50 quests.(Online co-op Only)

Veteran Fighter
Defeat 100 enemys.

Master of Arms
Defeat 500 enemys.

Einheriaru
Defeat 1000 enemys.

Play Online Match
Played multiplayer with 2 or more people for the first time.

Dainsleif
Play Dainsleif mode.

Card collect one.
Collected your first monster card.

SILVER

Cheers!
100 pieces Potions use.

100 single quests
Play through 100 quests.(solo only)

100 multi quests
Play through 100 quests.(Online co-op Only)

Berserk
Defeat 2000 enemys.

GOLD

Card complete
Collect all cards in the game.

PLATINUM

Platinum Trophy
All trophies acquired.

17 SECRET

BRONZE

Chapter 1
Complete Chapter 1.

Chapter 2
Complete Chapter 2.

Chapter 3
Complete Chapter 3.

Chapter 4
Complete Chapter 4.

Brunhild
Bravely fell in battle during a boss encounter.

Gyrfalcon
Blow a group of 7 enemies with a Strong attack.

Ogre
Defeated a boss without dying or using any potions.

Swallow Tail
Defeated 100 or more foes with a knockback.

Twilight
Successfully perform a counter attack 100 times.

Dawn
Healing 100000 HP of other player.

Lightning
Defeat a group of 10 enemies.

SILVER

Chapter 5
Complete Chapter 5.

Chapter 6
Complete Chapter 6.

Chapter 7
Complete Chapter 7.

Chapter 8
Complete Chapter 8.

Hidden Trophy

GOLD

Hidden Trophy

http://www.ps3trophies.org/game/ragnarok-odyssey/trophies/