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