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