Here is the full list of all 45 F1 2013 achievements. It takes around 30-35 hours to unlock all of the achievements on Windows.
End R&D early on the current seasons car in Career.
Move to another team mid-season in Career.
Complete a Career race without colliding with another car or object.
In Career, qualify last, but finish first.
Win the Constructors' Championship in Co-op.
Win the Drivers' Championship in Co-op.
Win the Drivers' Championship in Career on any difficulty.
Win the Constructors' Championship in Career.
Set the fastest lap time in every session of a long race weekend in Career.
Take pole position in Career.
Complete 50 online races.
Win an Online Race with any car from the Classic 80's at Jerez.
Race for five different teams in Season Challenge in a single season.
Earn a gold medal in every scenario in Scenario Mode.
Earn a medal in each scenario of Final Year in Scenario Mode.
Earn a medal in each scenario of Drivers' Championship in Scenario Mode.
Earn a medal in each scenario of Team Mate Challenge in Scenario Mode.
Earn a medal in each scenario of Rookie Driver in Scenario Mode.
Set a clean lap time for all circuits in Time Trial.
Post a time in all of the Time Attack scenarios.
Earn a gold medal in all of the Time Attack scenarios.
Complete a 100% race in Career or Grand Prix.
Return to your starting team in Season Challenge.
Win the Drivers' Championship in Season Challenge.
Win the Drivers' Championship in Season Challenge on hard difficulty.
Stay with the same team through the whole season in Season Challenge.
Beat four rivals in one season in Season Challenge.
Finish a race in the top three in Career or Season Challenge.
Beat your first rival in Season Challenge.
Pass all of your objectives over a race weekend in Season Challenge.
Set a clean lap at Brands Hatch and Jerez in Time Trial with the Ferrari 312 T2.
Achieve gold in the Time Attack Classic 80's challenge.
Set clean lap times at 5 different circuits in Time Trial.
Earn a gold medal in each Young Driver Test.
Complete 10 races using only the cockpit camera.
Complete 25 online races.
Take pole position in One-Shot Qualifying.
Win a race with all driver assists disabled.
Perform a Mid-Session Save.
Set a valid lap time in One-Shot Qualifying.
Complete 3 races in Split Screen.
Earn a medal in Scenario Mode.
Successfully complete all of the Young Driver Tests.
Complete all Day 1 tests in the Young Drivers Test.
Earn a gold medal in any of the Young Driver Tests.