Here is the full list of all 38 Riff Racer - there are Race Your Music achievements.
Unlock 5 packs
Unlock 10 packs
Reach Driver Level 20
Drive 100 songs
Drift more than 16 beats in one manoeuvre
Race on a song longer than 10 minutes in length
Reach Driver Level 15
Reach Driver Level 10
Drive 50 songs
Author 10 tracks
Boost 20 times or more in one song
Reach Driver Level 5
Play a Dance song
Drive 5 cars
Drive 25 songs
Author 5 tracks
Smash 30 boxes or more without missing one
Stay in the super-sync zone for 25 consecutive seconds
Enter the super-sync zone 10 times in under 40 seconds
Drive 10 songs
Roll more than 4 beats in one manoeuvre
Drive a whole song without hitting a barricade
Play a Pop Song
Stay 100% in sync for a whole song
Play a Rock/Metal song
Author 1 track
Drive 10 cars
Drive ALL cars
Play a single song 10 times
Beat a recommended ghost
Unlock 20 packs
Unlock ALL packs
Score more than 100,000 on a song under 3 minutes in length
Jump more than 8 beats in one manoeuvre
Beat a friend's ghost
Play a Hip-Hop/Urban song
Play a Classical song
Play a Jazz/Funk/Soul song