Here is the full list of all 39 F1 2011 trophies - there are 23 bronze, 11 silver, 4 gold and 1 platinum.
Congratulations. You've completed F1 2011™
You have won 35 Online Races
You've covered at least 500 Practice miles / 805 kilometres in your Career
You have set a time in all of the Time Attack scenarios
You have won the Constructors' World Championship in Career
You have spent a total of 10 minutes slipstreaming your opponents in any game mode
You won the Drivers' World Championship in a Co-op season
You won the Constructors' World Championship in a Co-op Championship
You have completed a full Co-op season
You have performed a Pit-stop during a Safety Car period
You have won the Drivers' World Championship with two different teams in Career or Co-op
You have completed 5 successive laps within a quarter of a second of each other
You have won the Drivers' World Championship in Career on Hard or Expert Difficulty
You scored points at every round of a Career or Co-op season
You have won a Race at each of the 19 circuits in any game mode
You have won the Drivers' World Championship in Career
You have beaten Alberto Ascari's record of 9 successive Career victories
You have won 10 Online Races
With Damage on Full you made contact with the wall at Monaco and won the Race
You won a Race without any Driver Assists enabled in any game mode
You took the lead on the final lap of a 20%+ distance Race and won
You won the Turkish Grand Prix driving as Lewis Hamilton
You took the lead on lap 1, in heavy rain, after starting in 5th or lower
You were awarded a Drive-through Penalty and still went on to win the Race
You have finished a Career Race in the top three
You set the fastest lap in every session of a Long Race Weekend in any mode
You have taken your first Career victory
You have completed your first Career Race
You cleanly overtook an opponent while the DRS was activated
You have taken the first Pole Position of your Career
You won a Race in any mode using manual gears
You set the fastest penalty-free lap of the Race in any game mode
You completed an Online Race without making contact with an opponent's car
You completed a Race without colliding with another car or object
You won a Race without activating KERS or the DRS once
You won a Race after Qualifying in Pole Position in any game mode
You lapped at least 6 other cars during a Race in any game mode
You cleanly overtook an opponent while KERS was activated
You performed a drift of 10 metres or more