Successfully complete one of the following tasks to get a trophy:

Streaker (Bronze): Win 5 races in a row offline.
Neither Bird nor Plane (Bronze): Travel 1020 feet in a single jump.
Wanted Man (Bronze): Pull over while the police are in 'pull over' mode, then drive away during the ticketing cutscene.
Out On Bail (Bronze): Evade the police successfully when they are in pursuit.
The Basics (Bronze): Complete one of the missions you receive in the mission log.
Paparazzi (Bronze): Save 16 photos to your photo album.
What's a Speed Limit? (Bronze): Win 15 dynamic freeway races.
Saving Los Angeles (Bronze): Enter the Race Editor, create a race, and then save it.
Where in the World? (Bronze): Find half of the collectables in Los Angeles.
Winning With Less (Bronze): Win 10 races on a motorcycle.
Hear me Roar! (Bronze): Unlock Level 3 Roar.
Anger Management (Bronze): Unlock Level 3 Agro.
Zoning Out (Bronze): Unlock Level 3 Zone.
Go on Green (Bronze): Win 15 Red Light Races.
Uncle Time (Bronze): Finish the first mission for each of the 4 time trials.
Father Time (Bronze): Completely unlock a time trial by completing all 3 missions.
Getting Off the Bench (Bronze): Enter an online cruise and join a proposed race.
Who Made This? (Bronze): Enter a Race Editor Race online.
Turn in the Work (Bronze): Submit a vehicle to Rate My Ride.
Everyone's a Critic (Bronze): Rate 25 rides online.
Crossing the Line (Bronze): Finish 50 races online.
Mild Dedication (Bronze): In Goal Attack, complete every goal for one race.
Jordan Jumpman (Bronze): Spend more than 10 minutes in the air. Brought to you by jordan brand.
Set To Stun (Bronze): Unlock Level 3 EMP.
T-Mobile myFaves (Bronze): Join an online game with 5 of your friends. Stay Connected with MyFaves from T-Mobile.
Unicycle (Silver): Drive a cumulative total of 50 miles while doing a wheelie on a motorcycle.
Just Get A Motorcycle (Silver): In a car, drive a cumulative total of 50 miles on 2 wheels.
Destroyer of Worlds (Silver): Successfully destroy 15 opponent vehicles using the Payback vehicle at the Beaches garage.
Here for a Pickup (Silver): Successfully deliver 15 vehicles out of the Hollywood garage.
Competitive Glory (Silver): Win each of the 4 tournaments at least one time.
In the Lap of… (Silver): Beat the Luxury Champ.
Name that Tuner (Silver): Beat the Tuner Champ.
World's Strongest (Silver): Beat the Muscle Champ.
Two Wheels of Fury (Silver): Beat the Motorcycle Champ.
How Exotic (Silver): Beat the Exotic Champ.
Have Car, Will Travel (Silver): Drive a total of 5,000 miles, including any miles driven online or offline.
Rags To Riches (Silver): Have $1 million dollars in the bank while playing in Los Angeles.
The Winner (Silver): Win 180 offline races.
Waldo's Still Missing (Silver): Find all the collectables in Los Angeles.
It's How You Play The Game (Silver): Finish 300 offline races. Winning is not required.
Retire the Master (Silver): Beat the City Champ.
Master Thief (Silver): Steal 80 flags while playing Capture the Flag or other battle matches.
Postman (Silver): Deliver 100 flags in Capture the Flag or other battle matches.
Ranking Up (Silver): Win 20 Tiered Matches online.
True Dedication (Gold): All Goal attacks must be unlocked and every goal for every race completed.
The Completist! (Platinum): Unlock the Platinum trophy by unlocking all other trophies.