Here is the full list of all 13 Hot Rider achievements.
First start "One Way" mode!
First start "Two Way" mode!
First start "Time Attack" mode!
First start "Bomb" mode!
Make 15k point in "One Way" mode!
Make 15k point in "Two Way" mode!
Make 15k point in "Time Attack" mode!
Make 15k point in "Bomb Attack" mode!
Make 10000 credits!
Make 15000 credits!
Make 30000 credits!
Make 50000 credits!
Make 100000 credits!