There are 35 Trophies that can be collected.

Bronze

Heal Your Chi    
Collect 100 Crystals in the desert of Tabora    

Safety Deposit    
Protect the 4 civilians in the bank from robots on Planet Damosel    

More Vandalism?    
Break all breakables inside Megacorp Store on Planet Oozla    

Clank Needs a New Pair of Shoes    
Play slot machines until you win 300 bolts and the skill point    

Robo Rampage    
On Planet Dobbo, destroy every building in the city during the boss battle.    

Bolt Scavenger II    
Collect 100,000 Bolts    

Speed Demon    
On Planet Barlow, get a time of 2:10 or less in the hoverbike race    

Prehistoric Rampage    
Shoot down the pterodactyls on Planet Oozla    

Museum Tour    
Gain access to the Insomniac Museum    

Be a Moon Child    
Mine all 101 crystals in the ice fields on Grelbin    

2B Hit or Not 2B Hit    
Defeat B2 Brawler without a scratch    

Operate Heavy Machinery    
Destroy 10 robots on Endako using the cranes    

No Shocking Developments    
Grind the power cable and lumber yard without taking damage on Planet Boldan    

More Bolts?    
Collect 50,000 Bolts    

You can Break a Snow Dan    
Blow up the snowman on Siberius    

Bye Bye Birdies    
Kill 12 birds on Planet Joba    

You're My Hero    
Protect all tourists on Planet Todano from the squirrels    

Try to Sleep    
Turn 16 Squirrels into Sheep on Planet Todano    

Moving Violation    
Shoot down 14 ships on Snivelak    

Yay Carbon    
Obtain Carbonox Armor

Silver

Wrench Ninja II: Massacre    
Kill all enemies with a wrench and without dying on Planet Joba    

Nano To The Max    
Max out Nanotech Upgrades    

That's Impossible!    
Beat the "Impossible Challenge" in the Megacorp games    

Nice Ride    
Buy all weapons, shields, and upgrades for your ship    

Bolted Down    
Collect 1 Million Bolts    

Midtown Insanity    
Grind the train rails without taking any damage on Planet Damosel    

Wrench Ninja: Blade to Blade    
Defeat Chainblade in the Arena using only the wrench    

Now its time…    
Obtain R.Y.N.O. II    

BFG    
Obtain the Zodiac Gadget

Gold

Platinum Power    
Obtain All 40 Platinum Bolts    

Super Skilled    
Attain All 30 Skill Points    

Destruction Time    
All Weapons, all fully upgraded    

Mutation Complete    
Defeat Mutated Protopet    

I got bolts to trade    
Collect 2 Million Bolts

Platinum

He Went Commando    
Obtain all Ratchet & Clank 2: Going Commando trophies

http://www.ps3trophies.org/game/ratchet-and-clank-going-commando-hd/trophies/