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