Here is the full list of all 31 Stereo Aereo trophies - there are 14 bronze, 11 silver, 5 gold and 1 platinum.
Complete level 3, Asteroid Highway, without taking any damage.
Complete level 2, Police Sunglasses, without taking any damage.
Get Crazy Dodges 15x in a single combo.
Get Crazy Dodges 10x in a single combo.
Get Crazy Dodges 5x in a single combo.
Complete level 1, Midnight Chase, without taking any damage.
Get a x100 combo
Get Perfect 15x in a single combo.
Get Perfect 10x in a single combo.
Get Perfect 5x in a single combo.
Obtained all other trophies.
Complete the tutorial.
Complete level 4, Creeping Sun, without taking any damage.
Complete level 5, Junkyard Paradise, without taking any damage.
Complete level 6, Queen's Domain, without taking any damage.
Complete level 7, Full metal frame, without taking any damage.
Complete level 8, Escape from man in black, without taking any damage.
Complete level 9, Liquid Metal, without taking any damage.
Complete level 10, The Concert, without taking any damage.
Finished the story mode in any difficulty.
Finished the story mode with 3 characters.
Finished the story mode in insane difficulty.
Finished the story mode with an unlocked ship.
Shoot a car.
Get hit by 3 giant asteroids and live to tell the story.
Allow all robo-mobsters to live.
Return 80 bombs to the queen.
Complete level 7, Full metal frame, without shooting and without taking any damage.
Shoot at the warden a crazy amount of times.
Get Perfect 15x on every Level
Get Crazy Dodges 15x in every level.