To unlock PlayStation 3 thropy rewards, complete the following tasks.

Trophy	How to unlock
Against the Clock (Bronze)	Complete a Time Trial in Monte Carlo.
Air Miles (Bronze)	Win a race in every location.
Assistance is Futile (Bronze)	Win a DiRT Tour race without using any driver assists.
Battered Battersea (Gold)	Complete 100% of the Battersea Compound Missions.
Burnt Rubber (Bronze)	Complete 75% of the Battersea Compound Missions.
California Dreams (Bronze)	Achieve a podium finish in the X Games Tournament.
Call me Ace (Bronze)	Ace all trick types in a Gymkhana Championship event.
Can't Touch This! (Bronze)	Remain uninfected in a round of Outbreak (Pro Tour or Jam Session).
Cheeze It! (Bronze)	Be the mouse in a Cat n Mouse game where your team has gone on to win the game (Jam Session).
Cool Running (Bronze)	Beat the Bobsleigh in the Norway Speed Run DC Challenge.
Crash Proof (Bronze)	Use a flashback in the DiRT Tour after receiving terminal damage and then go on to win the race.
DC Challenger (Silver)	Complete all of the DC Challenges.
DC Gold (Silver)	Achieve Gold medals in all of the DC Challenges.
DC Silver (Bronze)	Achieve Silver medals in all of the DC Challenges.
Donut Addict (Bronze)	Complete 50% of the Battersea Compound Missions.
Driven (Silver)	Win DiRT Tour races using vehicles from each discipline.
Driving School (Bronze)	Complete the tutorials in the Gymkhana Academy.
Eat my DiRT! (Silver)	Reach Driver Rep Level 30.
Flag Stealer (Bronze)	Steal the flag from the opposing team 5 times in a game of Transporter (Pro Tour).
French Connection (Bronze)	Win an online race in Monte Carlo (Jam Session).
Fresh Tricks (Bronze)	Win a Gymkhana event using a car from the Power and Glory Car Pack.
From DiRT to Glory (Gold)	Achieve first place finishes in all DiRT Tour events.
Gym-Carnage (Silver)	Score 500,000 Points in a Gymkhana Event.
Gymkhana Aficionado (Silver)	Complete all Gymkhana Championships.
Honorable Driver (Bronze)	Complete an online multiplayer race with a 'Cautious' rating.
Hooning Around (Bronze)	Complete 25% of the Battersea Compound Missions.
Into the DiRT (Bronze)	Complete your first DiRT Tour race.
Join the Party (Bronze)	Win a game in each of the multiplayer party modes (Pro Tour or Jam Session).
Kick Off the Training Wheels (Bronze)	Achieve a podium finish in the Gymkhana Academy.
King of the Road (Silver)	Win an online race in Hardcore Mode.
La Grande Victoire (Bronze)	Achieve first place in all DiRT Tour Monte Carlo Events.
Metropolis Racer (Bronze)	Win an online race in Shibuya (Jam Session).
New Wheels (Bronze)	Drive all of the cars from the Power and Glory Car Pack.
Night Rider (Bronze)	Win a race at night using a car from the Mud and Guts Car Pack.
No-bot Wars (Bronze)	Smash every robot in a Smash Attack DC Challenge.
Pace Setter (Bronze)	Complete a Time Trial race in a vehicle from each class of Rally.
Perfect Sprint (Bronze)	Complete a clean run in a Gymkhana Sprint DC Challenge.
Platinum Performance (Silver)	Achieve Platinum medals in all of the DC Challenges.
Platinum Trophy (Platinum)	Achieve all the trophies.
Rally Evolution (Bronze)	Win a DiRT Tour race in a Rally car from each decade.
Reputation Boost (Bronze)	Complete 5 bonus Race Objectives.
Rising Talent (Bronze)	Reach Driver Rep Level 10.
Road Trip (Bronze)	Complete a Joyride online with at least 3 other players.
Rush Hour (Bronze)	Complete a Time Trial in Shibuya.
Self Preservation Society (Bronze)	Win a DiRT Tour race in the Mini Cooper without receiving any damage.
Service History (Bronze)	Win a DIRT Tour event in a car from the Power and Glory Car Pack using a custom setup.
Shake and Bake (Bronze)	Reach Driver Rep Level 20.
Showcase Drifter (Bronze)	Score 25,000 drift points in a Drift Showcase DC Challenge.
Steer Hunter (Bronze)	Complete a game of Invasion without any negative points (Pro Tour).
Sub Zero Hero (Bronze)	Achieve a podium finish in the Winter X Games Tournament.
Super Star (Bronze)	Earn enough fans to achieve the Superstar title.
SuperSeries Champion (Silver)	Win the DC SuperSeries Championship.
Taking the Trophy (Bronze)	Win 10 online games (Pro Tour or Jam Session).
Teacher's Pet (Silver)	Achieve a Platinum medal in all of the Gymkhana Academy tutorials.
The Extra Mile (Bronze)	Complete 25 bonus Race Objectives.
The Fast Five (Silver)	Win 5 online races using cars from the Power and Glory Car Pack (Pro Tour & Jam Session).
The Furious Five (Silver)	Win 5 online races using cars from the Mud and Guts Car Pack (Pro Tour & Jam Session).
The Grudge (Bronze)	Terminally damage your car in Shibuya.
The Lively Set (Bronze)	Drive all of the cars from the Mud and Guts Car Pack.
The Professional (Bronze)	Complete your first Pro Tour race online.
The Real Thing (Bronze)	Win a Rally race in the DiRT Tour using the interior camera and the HUD switched off.
The Road Ahead (Bronze)	Complete 25 online games (Pro Tour or Jam Session).
The Tourist (Bronze)	Drive in excess of 100 miles (161 km) in Monte Carlo.
Today's Forecast is...Victory! (Bronze)	Win a race in all weather conditions.
Tokyo Story (Bronze)	Achieve first place in all DiRT Tour Shibuya Events.
Watch the Paintwork! (Bronze)	Complete a clean race with a car from the Mud and Guts Car Pack.
World Renowned (Bronze)	Achieve first place finishes and pass the DC Challenge in a World Tour event.