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