Here is the full list of all 33 Ratchet & Clank 3: Up Your Arsenal trophies - there are 18 bronze, 9 silver, 5 gold and 1 platinum.
Obtain all Ratchet & Clank 3: Up Your Arsenal™ trophies
Get all the Omega Weapons including the Rhynocerator
Attain the RY3NO Gadget
Collect 10 Million Bolts
Get Ratchet's Nanotech up to 200 (Maxed out!)
Infect 30 Enemies with the Infector Gadget on Mylon
Attain All 30 Skill Points
Get the Snowman Skin
Find the Clank Trophy
Jump up onto the Asteroid Belt on the Obani Moon
Kill 25 enemies with the Refractor on Marcadia
Defeat the Biobliterator to complete the game
Defeat Dr. Nefarious in the Final Battle
Kill 40 Enemies with the Suck Cannon at the Crash Site
Convert 15 Blood Flies into Ducks on Daxx
Collect 1 Million Bolts
Complete the Qwarktastic Battle in Annihilation Nation
Complete all 8 Gauntlet Challenges on Annihilation Nation
Obtain all 40 Titanium bolts
Destroy the Blimp flying around Metropolis
Kill 20 Enemies with your Refractor Gadget on Aridia
Get 2 seconds of air with the Turbo-Slider on Aridia
Defeat Scorpio with only the wrench in Annihilation Nation
Collect all 101 Sewer Crystals on Aquatos
Complete every battle mission
Destroy all underwater crates on Planet Aquatos
Destroy the Snowman at Qwark's Hideout
Get all Qwark Tokens (100%) on all Vid Comics
Hit Skrunch the monkey with your wrench on Starship Phoenix
Hit the jackpot on a slot machine in Holostar Studios
Complete the "Path of Death" on Florana without taking any damage
Find the Ratchet Trophy
Complete any Gauntlet Challenge without taking any damage