Here is the full list of all 35 PixelJunk Scrappers Deluxe trophies - there are 24 bronze, 5 silver, 5 gold and 1 platinum.
All trophies obtained.
Defeat Big Joe
Defeat Trinity Lovers
Defeat Goraizan
Defeat Shishimai King
Defeat Gigant Garbage Guardian
Complete all challenges in Stage 1-1
Complete all challenges in Stage 1-2
Complete all challenges in Stage 1-4
Complete all challenges in Stage 1-5
Complete all challenges in Area 1
Complete all challenges in Stage 2-1
Complete all challenges in Stage 2-2
Complete all challenges in Stage 2-4
Complete all challenges in Stage 2-5
Complete all challenges in Stage 2-6
Complete all challenges in Area 2
Complete all challenges in Stage 3-1
Complete all challenges in Stage 3-2
Complete all challenges in Stage 3-4
Complete all challenges in Stage 3-5
Complete all challenges in Stage 3-6
Complete all challenges in Area 3
Complete all challenges in Stage 4-1
Complete all challenges in Stage 4-2
Complete all challenges in Stage 4-4
Complete all challenges in Stage 4-5
Complete all challenges in Stage 4-6
Complete all challenges in Area 4
Complete all challenges in Stage 5-1
Complete all challenges in Stage 5-2
Complete all challenges in Stage 5-3
Complete all challenges in Stage 5-4
Complete all challenges in Stage 5-5
Complete all challenges in Area 5