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
Use the Groovitron on every type of enemy.
Complete the hoverboard Gold Cup on Kalebo in under 2:05
Complete the hoverboard Gold Cup on Rilgar in under 1:35
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.
Acquire every weapon in the game.
Complete every holocard set.
Upgrade one weapon to maximum level.
Reach the maximum bolt multiplier in Challenge Mode.
Sheepinate a Blarg Helicopter Commander.
Defeat Dr. Nefarious on the Deplanetizer.
Destroy 10 inactive Warbots inside the Quartu factory.
Collect every gold bolt.
Crush 5 gadgebots in the crusher on Quartu.
Defeat 40 enemies while jetpacking in Gaspar.
Destroy all of the planet models in Drek's office.
Find Qwark's Lounge on the Deplanitizer.
Break every lamp in Aleero City.
Complete every Trespasser puzzle without using AutoHack.
Complete the Fitness Course on Kerwan in under 70 seconds.
Ride every catwalk without moving in Kalebo.
Defeat Captain Qwark on the Deplanetizer.
Acquire every gadget.
Win the Gold Cup on both Rilgar and Kalebo.
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.
Knock a constructobot into the quicksand on Aridia.
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.
Become a Ranger on Kerwan.
Complete your first holocard set.
Trade in a set of duplicate holocards for a new one.
Rescue the Mayor and Plumber on Novalis.
Complete your first Raritanium weapon mod.
Escape from Victor on Quartu.
Complete the Ranger tryouts on Veldin.