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

Technologique (Bronze): Reach any goal in automatic transmission.
Stick Shift (Bronze): Reach any goal in manual transmission.
Grand Tour (Bronze): Arrive at all Goals (A - E).
Frequent Flyer (Bronze): Complete 50 Single Player games.
660 Horses (Bronze): Drive above 300km/h (186.4mph) for 10 seconds.
Leader of the pack (Bronze): Be first at all junctions on a multiplayer match.
Legend (Bronze): Finish in first place in 5 multiplayer matches in a row.
Millionaires Club (Silver): Score more than 1 Million on OutRun Mode.
Passing Breeze (Silver): Complete Time Attack Mode in under 4'30"00.
Risky Ride (Silver): Score more than 2.5 Million in 15 Course Continuous OutRun Mode.
Gumball King (Silver): Complete 15 Course Continuous Time Attack Mode in under 14'30"00.
Cardiogram (Gold): Score an overall AAA in Heart Attack Mode.