Here is the full list of all 48 inFAMOUS Second Son trophies - there are 34 bronze, 11 silver, 2 gold and 1 platinum.
Complete all of the District Showdowns in the city
Clear the D.U.P. out of the entire city
Complete all the Stencil Art
Collect all the Blast Shards
Defeat all the D.U.P. Secret Agents
Destroy all of the D.U.P. security cameras
Destroy all the D.U.P. Hidden Cameras
Collect all the Informant Audio Logs
Clear the D.U.P. out of half the districts in the city
Complete Showdowns in half of the districts
Defeat 10 enemies by detonating ammo crates
Finish the story with Good Karma
Expose the corruption of the powerful
Everyone deserves a second chance
Achieve Level 5 Good Karma
Stand up for the helpless
Collect half the Blast Shards
Destroy half the D.U.P. security cameras
Rescue 10 escaped conduits from angry mobs
Use a Karmic Streak attack to defeat exactly one enemy
Complete a District Showdown
Clear the D.U.P. completely out of a district
Hit three weak points with Neon Beam in 6 seconds
Practice self-control
Destroy 5 cars in 5 seconds
Bust 10 drug dealers
Rescue 10 suspects from suspicion pens
Heal 10 wounded civilians
Risk your freedom to protect those you care about
Collect all trophies
Finish the game on Expert difficulty
Look out for yourself, no matter the consequences
Get them before they get you
Don't fear the weak
An eye for an eye, a tooth for a tooth
Show the world that nobody can protect them
Finish the story with Evil Karma
Beat down 10 sign twirlers
Take out 10 street musicians
Disrupt 10 activist rallies
Kill 10 obnoxious Akuran gang members
Finish off 10 wounded enemies or civilians
Achieve Level 5 Evil Karma
Comet Drop over 170 meters
Stay in the air for more than 45 seconds
Defeat an enemy using three different power sources
Dash through two red air vents without touching the ground and then Comet Drop on an enemy
Comet Drop on three coughing enemies