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