Here is the full list of all 23 Ratchet & Clank: Into the Nexus trophies - there are 8 bronze, 7 silver, 7 gold and 1 platinum.
Collect every trophy in Ratchet & Clank: Into the Nexus.
Upgrade all weapons to level 6.
Purchase all armor.
Beat the game in Challenge Mode.
Collect all Gold Bolts.
Unlock the vault on planet Thram.
Beat Pest Control with just the Omniwrench.
Win the Destructapalooza Gold Cup.
Collect 1,000,000 bolts over the course of the game.
Upgrade 1 weapon to level 6.
Collect 200 raritanium over the course of the game.
Purchase all weapons.
Beat the game on Legend difficulty.
Beat the game on Hero difficulty.
Beat the game on Cadet difficulty.
Defeat the Nether Leader and banish his kind.
Complete all Netherverse segments.
Scare at least one of every type of enemy using the Nightmare Box.
Form an alliance with Neftin Prog.
Defeat Neftin Prog.
Win the Destructapalooza Silver Cup.
Win the Destructapalooza Bronze Cup.
Grav-Leap to the Thug ship circling the Nebulox Seven.