Here is the full list of trophies you can achieve for Gran Turismo 5 for the PS3.
AMG Driving Academy (Bronze) – Complete the ‘AMG Driving Academy’ Special Event
Arch Rivals (Bronze) – Achieve a one-two finish in a Mistubishi Lancer Evolution X and a Subaru IMPREZA WRX STI
Beginner Series Complete (Bronze) – Complete the Beginner series of Race Events
Beyond the Autobahn (Bronze) – Drive 12.718km total – the length of all Germany’s Autobahns combined
Car Collector (Bronze) – Fill your Garage with 1,000 cars
Colorful (Bronze) – Collect 256 paint colors
Course Designer (Bronze) – Create and share a track
Data Analyst (Bronze) – Analyze your performance using the Data Logger
Dream Drifter (Bronze) – Get 10,000 points or more in a Sector Mode Drift Trial
Dream Race (Bronze) – Win the ultimate three-way showdown between a Ford Mark IV Race Car, a Ferrari 330 P4 Race Car, and a Jaguar XJ13 Race Car
Driving Music (Bronze) – Use the Personal BGM function, and go for a drive while listening to your favorite songs
Excellent Driver (Silver) – Reach A-Spec Level 40
Expert Manager (Silver) – Reach B-Spec Level 40
Expert Series Complete (Bronze) – Complete the Expert series of Race Events
Extreme Series Complete (Bronze) – Complete the Extreme series of Race Events
Finale (Silver) – Reach the ending movie
Gold Standard (Gold) – Get a gold trophy in every race event, license test, and special event
Gran Turismo Karting Experience (Bronze) – Complete the ‘Gran Turismo Karting Experience’ Special Event
Gran Turismo Platinum Trophy (Platinum) – Earn every single Gran Turismo 5 trophy
Gran Turismo Rally (Bronze) – Complete the ‘Gran Turismo Rally’ Special Event
Grand Tour (Bronze) – Complete the ‘Grand Tour’ Special Event
GT-R Official Record (Bronze) – Achieve a time of 7’29.03 on the Nurburgring Nordschleife in a Nissan GT-R ’07. The record must be achieved in a Time Trial in the Arcade mode version of the car with tires of Sports Hard grade or lower equipped
Half a Century of Cars (Bronze) – Own at least one car from the ’60s, ’70s, 80’s, ’90s, and ’00s
High Roller (Bronze) – Bought a seriously expensive car
Human Stopwatch (Bronze) – Complete three consecutive laps with time within 0.2 seconds of the Best Lap Time
International A License (Bronze) – Complete the International A License
International B License (Bronze) – Complete the International B License
International C License (Bronze) – Complete the International C License
Jeff Gordon NASCAR School (Bronze) – Complete the ‘Jeff Gordon NASCAR School’ Special Event
Loony Tune (Bronze) – Spend an insane amount of money on tuning a car
Maximum Mileage (Bronze) – Buy a used car with 300,000km or more travel distance
Multi-Millionaire (Bronze) – Possess an insane amount of money
National A License (Bronze) – Complete the A License
National B License (Bronze) – Complete the B License
Old-Timer (Bronze) – Acquire a car manufactured in 1959 or earlier
Penniless (Bronze) – Spend every last Credit you have
Professional Series Complete (Bronze) – Complete the Professional series of Race Events
Proud Owner (Bronze) – Take and share a photo
Race Ready (Bronze) – Perform Racing Modifications on one of your cars
Sebastien Loeb Rally Challenge (Bronze) – Complete the ‘Sebastien Loeb Rally Challenge’ Special Event
Sky-High Roller (Bronze) – Buy an insanely expensive car
Speed Demon (Bronze) – Achieve a speed of 300km/h
Super License (Bronze) – Complete the S License
The Air of Experience (Bronze) – Raise a B-Spec driver to the peak of his career
The Right Direction (Bronze) – Win your first B-Spec event race
Top Gear Test Track (Bronze) – Complete the ‘Top Gear Test Track’ Special Event
Win Number One (Bronze) – Win your first A-Spec event race
Within One Hundredth (Bronze) – Win a race by a margin of 0.01 seconds or less
There are also eight secret trophies to collect that are hidden from the main trophy list in the game:
Endurance Series Complete (Bronze) – Complete the Endurance series of Race Events
Grand Finale (Silver) – Reach the long version of the ending movie
Picture Exclusive (Bronze) – Take a picture of a special someone as he stands in Kyoto’s Gion district
Portraitist (Bronze) – Take a portrait of a solitary lady who appears on the Marktgasse in Bern
Red Bull X1 Challenge (Bronze) – Complete the ‘Red Bull X1 Challenge’ Special Event
Rollover (Bronze) – Total a car by flipping it over
Take Your Honda Home (Bronze) – Take a photo of a Honda passing in front of the Honda head office on the Tokyo R246 track
Watch Out for Falling Objects (Bronze) – Make a part of your car fall off while driving