Here is the full list of all 47 Ratchet & Clank trophies - there are 30 bronze, 14 silver, 2 gold and 1 platinum.
Complete the hoverboard Gold Cup on Rilgar in under 1:35
Defeat Dr. Nefarious on the Deplanetizer.
Defeat Captain Qwark on the Deplanetizer.
Collect every gold bolt.
Acquire every weapon in the game.
Win the Gold Cup on both Rilgar and Kalebo.
Complete the hoverboard Gold Cup on Kalebo in under 2:05
Acquire every gadget.
Win the hoverboard Bronze Cup on Kalebo.
Defeat Victor in the Phoenix.
Get eaten by a Pool Shark in the Pokitaru Ocean.
Shoot down the hydroharvesters on Pokitaru.
Defeat Mrs. Zurkon on Quartu.
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.
Trade in a set of duplicate holocards for a new one.
Knock a constructobot into the quicksand on Aridia.
Become a Ranger on Kerwan.
Complete your first holocard set.
Rescue the Mayor and Plumber on Novalis.
Complete your first Raritanium weapon mod.
Escape from Victor on Quartu.
Complete the Ranger tryouts on Veldin.
Collect every trophy in Ratchet & Clank
Complete every holocard set.
Complete the game in Challenge Mode.
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.
Crush 5 gadgebots in the crusher on Quartu.
Break every lamp in Aleero City.
Defeat 40 enemies while jetpacking in Gaspar.
Sheepinate a Blarg Helicopter Commander.
Destroy 10 inactive Warbots inside the Quartu factory.
Destroy all of the planet models in Drek's office.
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.