Here is the full list of all 22 TrackDayR achievements.
Join TimeAttackR for the first time
Do your first setup in garage
Watch a replay for the first time
Reach 300 Km/h
Do your first stoppie
Ride for 1000 Meters
Open TDR for the first time
Join a session for the first time
Look behind you for the first time
Your first bike crash
Jump for the first time
Reach first place in a world leaderboard
Watch all the bikes in menu
Set MPH in game options
Make your first photo in photomode
Do a 500m wheelie
Complete a lap of a circuit by foot
Ride for 40.075 km
Complete 10 valid laps with the onboard camera
Do a burnout
Exit after a bike crash
Blow up your engine