Here is the full list of all 47 Ratchet & Clank trophies - there are 30 bronze, 14 silver, 2 gold and 1 platinum.
Win the Gold Cup on both Rilgar and Kalebo.
Acquire every gadget.
Win the hoverboard Bronze Cup on Kalebo.
Destroy all of the planet models in Drek's office.
Defeat Victor in the Phoenix.
Defeat Mrs. Zurkon on Quartu.
Destroy 10 inactive Warbots inside the Quartu factory.
Shoot down the hydroharvesters on Pokitaru.
Get eaten by a Pool Shark in the Pokitaru Ocean.
Shoot down the Blarg Battleships on Batalia.
Collect every Telepathopus brain.
Collect 30 brains for the Blarg Scientist on Gaspar.
Defeat the Snagglebeast on Nebula G34.
Win the hoverboard Bronze Cup on Rilgar.
Allow the extermibots to kill 35 amoeboids in Rilgar.
Rescue Skidd and his agent on Aridia.
Complete the Fitness Course on Kerwan in under 70 seconds.
Become a Ranger on Kerwan.
Trade in a set of duplicate holocards for a new one.
Rescue the Mayor and Plumber on Novalis.
Complete your first Raritanium weapon mod.
Complete your first holocard set.
Escape from Victor on Quartu.
Complete the Ranger tryouts on Veldin.
Collect every trophy in Ratchet & Clank
Defeat Dr. Nefarious on the Deplanetizer.
Complete every holocard set.
Complete the game in Challenge Mode.
Collect every gold bolt.
Acquire every weapon in the game.
Upgrade every weapon to maximum level.
Unlock every modification for every weapon.
Upgrade Ratchet's health to maximum level.
Complete every Trespasser puzzle without using AutoHack.
Upgrade one weapon to maximum level.
Defeat Captain Qwark on the Deplanetizer.
Complete the hoverboard Gold Cup on Rilgar in under 1:35
Complete the hoverboard Gold Cup on Kalebo in under 2:05
Crush 5 gadgebots in the crusher on Quartu.
Knock a constructobot into the quicksand on Aridia.
Break every lamp in Aleero City.
Defeat 40 enemies while jetpacking in Gaspar.
Sheepinate a Blarg Helicopter Commander.
Find Qwark's Lounge on the Deplanitizer.
Ride every catwalk without moving in Kalebo.
Use the Groovitron on every type of enemy.
Reach the maximum bolt multiplier in Challenge Mode.