Successfully complete one of the following tasks to get a trophy:

Achernar (Silver): Obtain 1,000 Gems in 1 Area.
Aldebaran (Bronze): Defeat 16 Cyclones in one game.
Altair (Bronze): Defeat Phaser after letting it kill you twice.
Antares (Bronze): Clear Novice Mode.
Arcturus (Bronze): Clear Unlimited Mode.
Arided (Bronze): Defeat Slayer while destroying only the main body.
Betelgeuse (Gold): Defeat Elixirel Daath.
Canopus (Bronze): Clear Revised Mode.
Hadar (Silver): Perform 4 Friction Breaks in 1 Game.
Kentaurus (Silver): Clear Demonic Mode.
Sombrero (Bronze): Obtain 4 life items.
Trapezium (Bronze): Perform a 1,000-Hit Combo in 1 Area.