There are 50 Trophies that can be earned in this title.

Bronze

Rocking the boat
Finish ahead of you higher placed team mate in your first season with a new team

Practice makes perfect
The player has driven at least 1 lap in all 3 practice sessions over 1 race weekend

Rookie Driver
Finish your first career race

Face the press
Complete your first press interview

Seeking Performance
Sucessfully complete an R&D test

Hot Property
Win and accept a contract with a higer placed team

One-Two
Finish 1st and 2nd with your team mate in a career race

Clean License
Complete a race without an incident

Speed demon
Travel about 200mph

Well protected
Complete a full race using cockpit cam

Silver Arrow
Win in a Mercedes in Germany

Rain Meister
Win a wet race

Against all odds
Win a race after starting in the final grid slot

It's a set-up
Win a race in a car using a set-up created by the player

I ain't afraid of no ghost
Set a time in time trial mode

2ns chance
Go on to win a race after using a Flashback

Well Drilled
Complete the pit stop challenge in under x amount of time

Semi auto
Complete a race using manual gears

The magic number
Take your 3rd victory

Impress the boss
Exceed a career objective

Attracting attention
Win a race where a new contract is on offer

The big one
Meet the contract requirements of the Championship leading team

Team Leader
Become the No. 1 driver in a team through promotion or joining a new team

Schuperb
Win from pole position 41 times

Made perfect
Top the time sheet for all 3 Practice Sessions

Pole Position
Place first on the grid

Podium finish
Finish in the top 3

Top Step
Win your first race

Unforgettable
Take pole and win at Monaco

World Champion
Win the World Championship

Strength of character
Set a time in time trial mode

Tifosi
Win a single player race in a Ferrari at Monza

Taking it online
Win your first ranked online race

Perfect 10
Achieve level 10 online

A true gent
Complete an online race without making contact with an opponent

Limelight
Finish the season ahead of your Championship Rival

Commitment is the key
Complete a 7 season career- triggered after the final race of season 7

Clean sweep
Take pole position setting the fastest time in each sector

True racer
Win a race with all driver aids switched off

Full house
Fastest in practice, take pole, finish first

Silver

Seasoned
Complete your first full season

Built to succeed
Win the Constructors title

Double World Champion
Win a second World Championship

2 and 5
Achieve level 25 online

Consistency is the key
Score points in every round of a season

Gold

World Champion – Legend
Win the Formula 1 Drivers' Championship on the Expert Difficulty setting

Triple World Champion
Win a third World Drivers Championship

Nifty 50
Achieve level 50 online

Platinum

Complete
Achieve all other Trophies within the game

http://www.ps3trophies.org/game/f1-2010/trophies/