Here is the full list of all 27 Squareboy vs Bullies: Arena Edition (EU) trophies - there are 10 bronze, 9 silver, 7 gold and 1 platinum.
DEFEAT ALL THE BULLIES
FINISH THE GAME
DEFEAT BIG BOSS BULLY
DEFEAT NINJA BULLY ON THE SHIP DECK
THROW A CRATE ON THE NINJA BULLY ON THE SHIP DECK
HIT AN ENEMY WITH A CRATE
DEFEAT 300 BULLIES
DEFEAT BANDANA BULLY ON THE HIDEOUT ROOFTOP
HIT AN ENEMY WITH A CHAIN
HIT ENEMIES BEHIND AND IN FRONT OF YOU WITH A SINGLE SWING OF A WEAPON
HIT AN ENEMY WITH A BASEBALL BAT
HIT AN ENEMY WITH A TRASH CAN
HIT AN ENEMY WITH A SPIN KICK
HIT AN ENEMY WITH A BOX
DEFEAT 100 BULLIES
THROW AN ENEMY
HIT AN ENEMY WITH A TIRE
HIT AN ENEMY WITH A DASH ATTACK
HIT AN ENEMY WITH A SPIN PUNCH
OPEN THE MOVES LIST IN THE PAUSED MENU
DEFEAT 10 BULLIES
HIT AN ENEMY WITH A STRIKE COMBO
HIT AN ENEMY WITH A JUMP PUNCH
DESTROY ALL THE DUMMIES IN THE DOJO
GRAB AN ENEMY
HIT AN ENEMY WITH A JUMP KICK
HIT AN ENEMY WITH A BACK PUNCH