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