Here is the full list of all 45 Nuclear Throne trophies - there are 31 bronze, 10 silver, 3 gold and 1 platinum.
Play as Frog.
Sit on the Nuclear Throne as headless Chicken.
Unlock a Crown as any character.
Reach 7-3 on a Daily
Defeat Captain.
Defeat Captain as Rogue.
Loop as every character.
Defeat Hyper Crystal as Horror.
Unlock a Golden Weapon for every character.
Reach 2-1 on Hard Mode as Chicken.
Unlock Hard Mode.
Defeat the Technomancer as Steroids
Defeat the Technomancer.
Defeat Hyper Crystal.
Defeat Mom as Rebel.
Defeat Mom.
Reach the Nuclear Throne with Melting without choosing Rhino Skin or Strong Spirit.
Reach Level Ultra as any character.
Reach the Nuclear Throne in under 10 minutes as Plant.
Loop past the Nuclear Throne.
Defeat Throne II.
Loop the game.
Reach the Nuclear Throne.
Defeat the Nuclear Throne.
Reach 5-?
Reach 4-? as Crystal.
Eat a Hyper Weapon as Robot.
Reach 6-1.
Defeat Lil Hunter.
Defeat Horror.
Reach 5-1.
Reach 2-? as Eyes.
Unlock a Golden Weapon as any character.
Reach 3-?.
We hereby sincerely apologize.
Defeat Big Dog.
Die.
Reach 3-1.
Reach 2-1.
Defeat Big Bandit.
Completed Every Challenge We Could Think Of In Nuclear Throne.
Unlock a Golden Disc Gun or Golden Nuke Launcher.
Reach Level Ultra as Skeleton
Unlock all Crowns as one character.
Get 100% of the unlocks.