There are 14 Trophies that can be collected.

Bronze

The Ruins of Burnination
Blur the lines of the 8-Bit world and Free Country, USA.

The Mainframe
Find your way into the Mainframe.

The Peasants; They Love me!
Get the Peasants to join your party.

I Have the Power!
Obtain the Trogsword.

Collectible Achievement Monger
Find all 12 collectibles.

Cosplay Master
Find all costume pieces.

The Ghosts of Our Forefathers
Free all four colonial ghosts.

…Has Joined Your Party!
Acquire all members for your party.

Burninating the Peasants
Burninate all of the Peasants.

They Loose Value if Opened
Collect all classic Videlectrix game boxes.

Collect All Our Playsets and Toys!
Collect all Cheat Commando Traction figures.

I'm A Good Graphicketeer!
Collect all Videlectrix Good Graphicketeers Cards.

Silver

SBCG4AO MMORPG!!!
Achieve the highest possible Awesomeness level.

Gold

Dragon-Man Slayer!
Defeat Trogdor.

http://www.ps3trophies.org/game/strong-bad-cool-game-ep-5/trophies/