Successfully complete one of the following tasks to get a trophy:

Paint the town red! (Bronze): Win a Zombie match in Local Play against 2+ CPU players.
The Name's Bomb, Dangerous Bomb (Bronze): Take out 3 CPU players at once in a Local game.
Exterminator (Bronze): Win 15 Local matches against 3+ CPU players.
Totally Bombed! (Bronze): Win a Local match against 3+ CPU players after being in a Super Revenge Cart.
Completely Unstoppable! (Bronze): Remain undefeated for five consecutive 4+ player Online Multiplayer games.
You die so good! (Bronze): Score 25 Frags in an Online Multiplayer Zombie Match.
The Bomb! (Silver): Win 30 Online Multiplayer games.
Joy of Painting with Bomberman (Silver): Claim 130 or more tiles in a Local Zombie match against 3+ CPU players.
The Good, The Bad and The Bombed (Silver): With the full cowboy outfit, Frag another cowboy in an Online Multiplayer match.
Girl Power! (Silver): With a full female outfit, win an Online Multiplayer 4+ player girl only match.
EXTREME MAKEOVER! (Gold): Collect 60 Costume Balls.