Here is the full list of all 30 Lumines Remastered trophies - there are 9 bronze, 15 silver, 5 gold and 1 platinum.
Clear 10 or more squares in one timeline sweep.
Link 25 or more blocks together.
Complete the Basic Challenge using the first skin.
Earn all of the trophies in the game.
Get three Score Bonuses in a row.
Complete 10 skins in a row in Skin Edit.
Clear at least 40 squares in 60sec Time Attack.
Clear at least 120 squares in 180sec Time Attack.
Clear at least 200 squares in 300sec Time Attack.
Complete all Easy Puzzles.
Complete all Easy Missions.
Win Stage 1 playing against the CPU.
Complete the Basic Challenge.
Score 250,000 points in Skin Edit.
Get ten Score Bonuses in a row.
Clear all blocks on the screen.
Clear at least 50 squares in 60sec Time Attack.
Complete all Hard Puzzles.
Complete all Hard Missions.
Complete the Basic Challenge within 55 minutes.
Score 1,000,000 points in the Endless Challenge.
Clear at least 180 squares in 180sec Time Attack.
Win Stage 10 playing against the CPU.
Complete all Super Hard Puzzles.
Complete all Super Hard Missions.
Get all skins.
Complete two rounds of the Endless Challenge.
Win against the CPU without using any retries.
Clear at least 320 squares in 300sec Time Attack.
Complete the Shuffle Challenge for all skins.