Here is the full list of all 41 Space Break 2 Head to Head trophies - there are 28 bronze, 8 silver, 4 gold and 1 platinum.
Collected all the trophies in the game.
Completed a level quickly.
Completed a level slowly.
Defeated Lil' M mini boss.
Defeated Cooper mini boss.
Defeated Cody 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 objects 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 objects with magic missile without losing life.
Destroyed 5 objects with fireball without losing life.
Destroyed 3 objects 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 object 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 planets in game.
Defeated 2 planets in game.
Defeated Planet boss.
Earned total 7 stars in game.
Collected total 7 coins in game.
Completed levels with 3 different planets in game.
Defeated 3 planets in game.