Here is the full list of all 46 MotoGP13 achievements.
Achieve a Pole Position, the Fastest Lap and win the Race on the same offline Weekend
Start an offline race from the Pole Position
Earn 40000 fans in Career mode
Win a MotoGP™ race with one of these bikes: ART, FTR, FTR Kawasaki, FTR Honda, Suter, PBM
Ride for at least 1000 km (622 miles) in any offline game mode
Reach GP Level 40
Win a race as B. Spies on the Circuit of the Americas
Reach GP Level 25
Complete one valid race on each track in the game
Reach GP Level 20
Perform a total 2 minutes in endos
Spend a total of 2 minutes doing wheelies
Select the Pro Physics level in Riding Aids and complete a race
Win in rainy conditions (Rain or Light Rain)
Win a race as J. Lorenzo on Mugello
Win a race as D. Pedrosa on Motegi
Reach 300 km/h in any game mode
Reach GP Level 10
Win a race as N. Hayden on Laguna Seca
Win a race on an Italian track with an Italian rider
Win a race on a Spanish track with a Spanish rider
Win a race as V. Rossi on Laguna Seca
Go to the track and use a rewind
Earn 20000 fans in Career mode
Raise your GP Level in order to unlock a team
Complete a Team objective in Career mode
Reach GP Level 5
Enter the Replay mode for the first time
Change your rider's helmet in Rider Customization section
Enter your Social Feeds page in Career mode
Sign your first contract in Career mode
Raise your GP Level in order to unlock a rider
Win a race starting from last position
Perform the fastest lap in an offline race
Raise your GP Level in order to unlock a helmet
Race using the Helmet view
Use the Technical Meeting in the Pit to change your bike settings
Enter the Bike Settings menu in the Pit
Create your first custom rider
Come in 1st and 2nd as B. Spies and C. Edwards at Austin while in the Split Screen mode
Be featured on the "Bike Today" newspaper cover in Career mode
Earn 1000000 fans in Career mode
Sign your first contract in MotoGP™ class in Career mode
Sign a contract in Career mode with Ducati Team, Repsol Honda Team or Yamaha Factory Racing
Win a Rider Championship in any class in Career mode
Complete a Championship based on the official calendar in a better position than Valentino Rossi