Here is the full list of all 47 Ratchet & Clank trophies - there are 30 bronze, 14 silver, 2 gold and 1 platinum.
Break every lamp in Aleero City.
Complete the game in Challenge Mode.
Upgrade every weapon to maximum level.
Find Qwark's Lounge on the Deplanitizer.
Ride every catwalk without moving in Kalebo.
Upgrade Ratchet's health to maximum level.
Destroy 10 inactive Warbots inside the Quartu factory.
Crush 5 gadgebots in the crusher on Quartu.
Unlock every modification for every weapon.
Upgrade one weapon to maximum level.
Complete every holocard set.
Reach the maximum bolt multiplier in Challenge Mode.
Collect every gold bolt.
Complete the hoverboard Gold Cup on Kalebo in under 2:05
Defeat Dr. Nefarious on the Deplanetizer.
Use the Groovitron on every type of enemy.
Defeat Captain Qwark on the Deplanetizer.
Complete every Trespasser puzzle without using AutoHack.
Sheepinate a Blarg Helicopter Commander.
Defeat 40 enemies while jetpacking in Gaspar.
Complete the Fitness Course on Kerwan in under 70 seconds.
Allow the extermibots to kill 35 amoeboids in Rilgar.
Acquire every weapon in the game.
Win the Gold Cup on both Rilgar and Kalebo.
Acquire every gadget.
Win the hoverboard Bronze Cup on Kalebo.
Destroy all of the planet models in Drek's office.
Defeat Victor in the Phoenix.
Defeat Mrs. Zurkon on Quartu.
Shoot down the hydroharvesters on Pokitaru.
Get eaten by a Pool Shark in the Pokitaru Ocean.
Shoot down the Blarg Battleships on Batalia.
Knock a constructobot into the quicksand on Aridia.
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.
Become a Ranger on Kerwan.
Rescue Skidd and his agent on Aridia.
Trade in a set of duplicate holocards for a new one.
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.
Collect every trophy in Ratchet & Clank
Complete the hoverboard Gold Cup on Rilgar in under 1:35