Complete the following tasks to unlock Vita trophy rewards.

Trophy	How to unlock
Even More Difficult (Bronze)	Complete your first Marvin's Quest.
Invincible (Gold)	Complete all of Marvin's Quests.
Making Friends (Bronze)	Complete your first competition in the Multiplayer mode.
Road To Success (Bronze)	Win your first Tournament in the Galactic Games.
Shopaholic (Silver)	Buy all the gadgets in the ACME Shop.
Space Dream Team (Silver)	Unlock all the characters.
Super Space Athlete (Gold)	Complete the Galactic Games mode.
Your First Buy (Bronze)	Buy your first gadget in the ACME Shop.