There are 13 Trophies that can be earned in this title.

Bronze

I Can Do It!
Finish the game on Euridice difficulty.

Genoremasody's End
Finish the game on Nobilmente difficulty.

The Rose Cross
Finish the game on Allemande difficulty.

Even If The World Ends…
Finish the game on Doomsday difficulty.

Loner
Finish the game in Solo Voyage mode.

No Cheap Tricks
Finish the game without using any bombs.

Doll Collector
Have 12 of every standard doll at one time.

No, YOUR Time's Up!
Defeat a boss after time has run out.

1 In 64's Not Bad
Use the Sphere 13 doll.

Silver

Endless Possibilities
Finish the game in Solo Voyage mode with every doll.

Phantastique Tea Party
Defeat the true last boss.

Destructive
Destroy every part of every boss in one game.

Gold

Not An Unlucky Number
Finish the game in Destiny 13 mode.

http://www.ps3trophies.org/game/hitogata-happa/trophies/