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