There are 12 Trophies that can be earned in this title.

Bronze

Humble Beginnings
You’ve learnt what to do. Every hero has to start somewhere.

Zombie Hunter
You don't need a shotgun or chainsaw to defeat the Undead, just a weapon and some gems.

Basilisk’s Bane
With all the dead snakes in the jungle, maybe you should open your own restaurant.

Giant Slayer
The arena may miss him, but you won’t. After all, he was just a big purple dude.

Skillfully Done
Now you're beginning to look like a Hero.

Dungeon Delver
Monsters beware, lest your head end up on the wall.

Dog Trainer
Okay, he's house-trained, but can he herd a bunch of sheep?

Craftsman
You're getting good at this whole crafting business.

Silver

Story’s End
Our hero's saga may go on, but this part of the story is over.

Conquering Hero
You’ve shown the world you’re no pushover.

Finder of Secrets
Persistence isn't its own reward, secret locations are!

Gold

Deathbringer
That's it! There's nothing else to do.

http://www.ps3trophies.org/game/puzzle-chronicles/trophies/