Here is the full list of all 35 Ratchet & Clank trophies - there are 19 bronze, 10 silver, 5 gold and 1 platinum.
Obtain All Ratchet & Clank Trophies
Upgrade to Ultra Nanotech
Obtain all ten gold weapons
Obtain the R.Y.N.O.
Obtain all regular weapon gadgets
Collect 1,000,000 Bolts
Defeat Chairman Drek
Gather All 40 Golden Bolts throughout the game
Master all 30 skill points
Kill 10 elite guards with only the wrench on Veldin
Score 4500+ on a hoverboard race on Kalebo III
Traverse the water region without losing any health on Veldin's Orbital Station
Destroy all streetlights in Oltanis
Destroy all cargo ships in the base on Orbital Oltanis
Find and destroy all the crates in the ocean on Pokitaru
Lure an enemy into a forcefield on Orxon
Shoot a Scream through the sniper hole on Orxon
On Gaspar, blow up all Blarg destroyers
Use a Sand Mouse to destroy all the tanks on Batalia
Attain 15 Skill Points to Unlock Sketchbook in Menu
Turn a tank into a chicken on Rilgar
Do a "Twisty" McMarx" in the hoverboard race
Defeat Blarg Station Alien Queen using only the wrench!
Blow Up 10 Vehicles on Eudora
Stand between Al's Roboshack Statue's legs on Kerwan
Destroy Captain Qwark training robot on Kerwan
Destroyed three flying transports on Aridia
Destroy a fighter or bomber on Novalis
Defeat Captain Qwark's Ship
Kill all Anklebiters on Planet Hoven
Obtain the Persuader
Obtain the Premium Nanotech upgrade
Obtain the Magneboots
Beat the hoverboard challenge in less than 1:35 on Rilgar
Obtain the Suck Cannon