Here is the full list of all 11 Lumines Supernova trophies - there are 6 bronze, 4 silver and 1 gold.
Unlock all skins.
Clear Mission Mode Hard.
Clear Puzzle Mode Hard.
Clear all stages in Dig Down Mode.
Score 210 points in Time Attack Mode 180sec.
Clear Puzzle Mode Easy.
Clear Mission Mode Easy.
Score 50 points in Time Attack Mode 60sec.
Unlock 10 skins in Challenge Mode "Advance".
Unlock 10 skins in Challenge Mode "Basic".
Unlock 3 skins in Challenge Mode "Basic".