Complete the following tasks to unlock PlayStation3 trophy rewards for Infamous 2.

Behind the Curtain (Bronze): Collect 50% of the available Dead Drops.
A Streetcar Named 'Boom!' (Bronze): Complete BOOM!
Quid Pro Kuo (Bronze): Complete Leading the Charge.
Playing Both Sides (Bronze): Complete Fooling the Rebels.
Ambulance Chaser (Bronze): Complete Hearts and Minds Campaign.
Am I The Daddy? (Bronze): Complete Nix's New Family.
Exposure (Bronze): Complete Exposing Bertrand.
The Cleaner (Bronze): Complete the assassination side missions.
Frozen Asset (Bronze): Complete the ice Conduit side missions.
Dazed and Defused (Bronze): Take down the Blast Shard Bomber.
Back to the Bayou (Bronze): Return to the swamp blockade.
Mountaineer (Bronze): Climb to the top of the 3 tallest buildings in New Marais.
Extreme Makeover (Bronze): Destroy 30 verandas or other large objects.
Watch That First Step (Bronze): Defeat an enemy by destroying the object they stand on.
Finish What You Started (Bronze): Perform 100 finishers or ultra melee combos.
Knockout in the Blackout (Bronze): Defeat 50 enemies in powered down areas while no missions are active.
Go Long! (Bronze): Hurl 50 objects using the Kinetic Pulse ability.
Cole' Blooded (Bronze): Defeat 100 civilians.
Army Of Me (Bronze): Defeat 300 enemies.
Hero to the People (Bronze): Stop 80 crimes in progress.
Nothing Can Bring Me Down (Bronze): Stay off the ground for 130 meters.
Return to Sender (Bronze): Send a Helicopter's rockets back at it using any Blast ability.
Vehicular Manslaughter (Bronze): Defeat 25 enemies by throwing cars at them.
Take Them For A Spin (Bronze): Hit at least 6 cars in a single Ionic Vortex.
Shock and Awe (Bronze): Thunder drop into a group of 5 or more enemies.
Thunder Flop (Bronze): Thunder drop from the highest place in New Marais.
Head Hunter (Bronze): Use the Precision ability to rack up three head shots in rapid succession.
Discerning Taste (Bronze): Take down a street performer who is imitating a statue.
I'm As Shocked As You Are (Bronze): Defeat an enemy or civilian by stepping in water.
Don't Fence Me In (Bronze): Climb a chain link fence and rejoice.
Express Elevator (Bronze): Ascend 50 vertical launch poles.
Heavy Hitter (Bronze): Use your Ionic Powers 30 times.
Matching Set (Bronze): Unlock and purchase a power of each type by performing stunts.
Level Up (Bronze): Create a new mission using the UGC level editor.
UGC Curious (Bronze): Play 10 user-generated missions.
UGC Veteran (Bronze): Play 25 user-generated missions.
Trail Blazer (Bronze): Play 5 user-generated missions under the Newest filter.
With Great Power Comes Greater Power (Silver): Unlock and purchase all powers.
Shardcore (Silver): Pick up 50% of blast shards scattered around New Marais.
Fight the Good Fight (Silver): Unlock the good ending.
Forging Your Own Path (Silver): Unlock the evil ending.
Land Lord (Silver): Take over the first island in New Marais.
It's My Town, Now (Silver): Take over the second island in New Marais.
Well inFORMED (Silver): Collect all Dead drops.
Arch Villain (Silver): Earn full negative Karma.
Incorruptible (Silver): Earn full positive Karma.
Pain Builds Character (Gold): Finish the game on hard difficulty.
Just One More (Gold): Pick up all the blast shards scattered around New Marais.
inFAMOUS 2 Platinum Trophy (Platinum): Collect all other inFAMOUS 2 Trophies

Additionally there are three secret trophies.

Closed Casket Affair (Bronze): Give Bertrand what he wants.
Status Kuo (Bronze): Choose Kuo in Storm the Fort.
Get Nix'ed (Bronze): Choose Nix in Storm the Fort.