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