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!)
Get the Snowman Skin
Defeat the Biobliterator to complete the game
Defeat Dr. Nefarious in the Final Battle
Obtain all 40 Titanium bolts
Infect 30 Enemies with the Infector Gadget on Mylon
Attain All 30 Skill Points
Complete the Qwarktastic Battle in Annihilation Nation
Collect 1 Million Bolts
Defeat Scorpio with only the wrench in Annihilation Nation
Convert 15 Blood Flies into Ducks on Daxx
Jump up onto the Asteroid Belt on the Obani Moon
Kill 20 Enemies with your Refractor Gadget on Aridia
Get 2 seconds of air with the Turbo-Slider on Aridia
Kill 40 Enemies with the Suck Cannon at the Crash Site
Hit Skrunch the monkey with your wrench on Starship Phoenix
Find the Clank Trophy
Collect all 101 Sewer Crystals on Aquatos
Complete every battle mission
Destroy the Blimp flying around Metropolis
Destroy the Snowman at Qwark's Hideout
Get all Qwark Tokens (100%) on all Vid Comics
Hit the jackpot on a slot machine in Holostar Studios
Complete all 8 Gauntlet Challenges on Annihilation Nation
Complete any Gauntlet Challenge without taking any damage
Kill 25 enemies with the Refractor on Marcadia
Destroy all underwater crates on Planet Aquatos
Complete the "Path of Death" on Florana without taking any damage
Find the Ratchet Trophy