Here is the full list of all 20 Daytona Racing achievements.
Ride 10 laps on circle map
Ride 5 laps on circle map
Ride 1 circle
Ride 10 laps on eight map
Hit the oil
Ride 5 laps on eight map
Hit the thorns
Ride 1 lap on eight map
Change the line very close to another car
Hit the slow down penalty
Avoid crash by hitting the oil
1st crash
Crash on 1st lap
Cross the finish line
Ride 15 laps on circle map
Ride 20 laps on circle map
Ride 25 laps on circle map
Ride 15 laps on eight map
Ride 20 laps on eight map
Ride 25 laps on eight map