Here is the full list of all 40 Unicorn Break Head to Head (EU) trophies - there are 28 bronze, 7 silver, 4 gold and 1 platinum.
Collected all the trophies in the game.
Completed a level quickly.
Completed a level slowly.
Defeated a Milo mini boss.
Defeated a Sprinkles mini boss.
Defeated a Stella mini boss.
Hit ball 3 times in turbo paddle mode without losing life.
Caught ball 3 times with sticky paddle without losing life.
Hit ball 3 times with shield (bottom wall) without losing life.
Survived a mini boss attack through invincible paddle.
Destroyed 3 items with slow ball without losing life.
Collected laser power up.
Collected wide paddle power up.
Collected fireball power up.
Collected 3-ball power up.
Destroyed 5 items with laser without losing life.
Destroyed 5 items with fireball without losing life.
Destroyed 3 items with a bomb.
Collected a combo of 3 or more power ups.
Collected all powers ups and collectibles in level.
Survived all mini boss attacks in a level.
Completed a level with 7 or more lives remaining.
Destroyed an item at 5x speed.
Scored 30000 points in a level.
Earned total 3 stars in game.
Collected total 3 coins in game.
Defeated CPU in 1P play mode.
Played a level in 1P vs 2P mode.
Defeated CPU consecutively.
Completed a level without losing life.
Scored 40000 points in a level.
Defeated CPU 3 times in a row.
Earned total 5 stars in game.
Collected total 5 coins in game.
Completed levels with 2 different characters in game.
Defeated 2 characters in game.
Earned total 7 stars in game.
Collected total 7 coins in game.
Completed levels with 3 different characters in game.
Defeated 3 characters in game.