There are 45 Trophies that can be collected.

Bronze

Keep the Meter Running    
Don't let the air taxi take damage in Luminopolis.

El Matador    
No one gets hit by a grove beetle in the Deadgrove.

It Was Like That When We Got Here    
Destroy all of the towers in Gorthon Crater.     

A Moment of Reflection    
Use only Reflectors to destroy the generators in Phonica Moon's security tunnels.    

Mission Improbable    
Get through the laser walls at the end of Uzo City in 45 seconds.     

Night Lights are for Wimps    
Get through Rossa Fields without using any of the energy repositories.     

The Mad Plasmabomber    
Kill eight enemies with one shot.     

Pyromancer    
Barbecue four enemies at the same time using the Pyro Blaster.     

Knockout Artist    
Kill three enemies with one attack using the Blitzer.     

Fine, But You're Cleaning Up After Them    
Get 10 critters on screen at once.     

Eight Seconds    
Kill eight enemies in eight seconds using the Darkstar Fission Tether with two or more teammates.     

Zurkon the Legend    
Kill 100 enemies with Mr. Zurkon out.     

Melee Legend    
Kill 150 enemies with melee.     

Q-Force Legend    
Kill 50 enemies in a row using melee without taking damage.     

Doppelbanger Legend    
Destroy 30 enemies while they're distracted by the Doppelbanger.     

Quantum Deflector Legend    
Absorb 500 shots with the Quantum Deflector.     

Zoni Legend    
Kill 15 enemies that have been slowed down by the Zoni Blaster.     

Cloaker Legend    
Kill 15 enemies while using the Cloaker.     

Quick Killer    
Kill eight enemies in two seconds.     

Overload Legend    
Use the Co-op overload to kill 60 enemies.     

Life Support    
Revive a teammate with one second left on their timer. (2P +)     

Friendship through Firepower    
Buy your first weapon.

Vac-U Legend    
Kill 50 enemies with the Vac-U 4000.

Waiting Room    
Reach the lobby. (2P +)     

Connected    
Play an online game. (2P +)     

Old-School    
Play a single-player game.     

Couch Potato    
Play an offline-only game. (2P +)

Silver

Bomb Disposal    
Blow up 85% of the exploding crates in Aldaros Plains.

On Some Planets They're a Delicacy    
Shoot all of the slorgs back into the waters of Octonok Cay.

Upping your Arsenal    
Buy half of the weapons.

Tricked Out    
Fully upgrade one weapon.

Galactic Hero    
Kill 500 enemies.

The Bolt Banker    
Have 100,000 bolts banked.

Gold

For the Zombie Apocalypse    
Buy all of the weapons.

Upgraded    
Fully upgrade all weapons.

The First Million is Always the Hardest    
Have 1,000,000 bolts banked.

9 Secret

http://www.ps3trophies.org/game/ratchet-and-clank-all-4-one/trophies/