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