Here is the full list of all 33 Bleed trophies - there are 12 bronze, 16 silver, 4 gold and 1 platinum.
Investigate the pit in Guppy's Manor.
Defeat the Chopper Core with an S-Rank.
Completely trash Guppy's Manor.
Unlock all BLEED Trophies.
Clear Story Mode on Easy.
Clear Story Mode on Normal.
Clear Story Mode on Hard.
Clear Story Mode on Very Hard.
Clear Arcade Mode on Easy.
Clear Arcade Mode on Normal.
Clear Arcade Mode on Hard.
Clear Arcade Mode on Very Hard.
Win a Challenge Mode fight against 3 opponents.
Don't break any egg's in the Earth's core.
Don't trip any lasers in the Hi-Security Complex.
Reach and defeat Bunny Rockette in 3 minutes.
Only fight one color of blob in the underground Lab.
Don't step on the regenerating blocks in the Dragon's stomach.
Do no damage and take no damage in the Hall of Heroes.
Recite some poetry atop the Hall of Heroes.
Reflect a bullet that was reflected by the Rival.
Defeat Battalion with an S-Rank.
Defeat the Bubble Core with an S-Rank.
Defeat Bunny Rockette with an S-Rank.
Defeat the Dragon Heart with an S-Rank.
Defeat Gibby & Stu with an S-Rank.
Defeat Guppy with an S-Rank.
Defeat the Laser Bots with an S-Rank.
Defeat the Mantis Core with an S-Rank.
Defeat the Mirror Core with an S-Rank.
Defeat the Rival with an S-Rank.
Defeat the Spider Core with an S-Rank.
Defeat White Mk II with an S-Rank.