Here is the full list of all 23 Awesome Asteroids trophies - there are 5 bronze, 10 silver, 7 gold and 1 platinum.
Complete the 2nd level.
Destroy 50 asteroids.
Complete the first level.
Complete a level without dying.
Destroy an asteroid with missiles.
Destroy an asteroid for the first time.
Pickup a shield for the first time.
Unlock all trophies in the game.
Get destroyed by an asteroid.
Destroy 15 magnetic mines.
Destroy 5 magnetic mines.
Destroy an asteroid with shields and survive.
Destroy 20 enemy ships.
Destroy a magnetic mine.
Get destroyed by a magnetic mine.
Destroy 200 asteroids.
Destroy an enemy ship.
Complete the third level.
Complete the fourth level.
Complete the fifth level.
Complete all levels
Destroy a magnetic mine using shields and survive.
Die 25 times.