Here is the full list of all 12 Gundemonium Recollection trophies - there are 8 bronze, 3 silver and 1 gold.
Obtain 4 life items.
Clear Novice Mode.
Clear Revised Mode.
Clear Unlimited Mode.
Clear Demonic Mode.
Defeat 16 Cyclones in one game.
Defeat Slayer while destroying only the main body.
Defeat Phaser after letting it kill you twice.
Perform a 1,000-Hit Combo in 1 Area.
Obtain 1,000 Gems in 1 Area.
Perform 4 Friction Breaks in 1 Game.
Defeat Elixirel Daath.