SD cars

At the main menu, hold X and press Right(2), Up(2), Down, Left, Down, Left, Right, Up, Down, Left, Right, Up, Right.

Transparent car

At the main menu , hold Start and press Up(2), Right, Left, Down, Down, Left, Up, Right(2), Up, Down, Left(2), Down.

Big tracks

At the main menu, hold X and Select. While holding, press Right, Down, Left, Up, Right, Down, Left, Up, Down, Right, Up, Left, Down, Right, Up.

Wider turns

At the main menu, hold Circle and press Down(2), Left, Down(3), Left, Down, Up, Down, Right, Left, Right, Left, Up.

Monochrome graphics

At the main menu, hold Select and press Right(4), Up(4), Down, Right, Up, Down, Right, Up, Left.

Decrease gravity

At the main menu, hold Circle and Start. While holding, press Right, Up, Down, Left, Right, Up, Down, Left, Right, Up, Down, Left, Right, Up, Left.

Bonus tracks

Iin "STC" mode, finish all of the races in first place to unlock the 
following tracks:

HKS-VEC
ING-CAL
AUT-318
In "SSS" mode, complete all races in first place to unlock the following 
tracks:
TCY-TMR
KGS-ERS

Bonus cars

Accomplish the following and you will receive the corresponding bonus car: First place in the end of year championship race in all three levels under "NC" to unlock nine bonus cars (three per level). 

Second or third place in the end of year championship race in all three levels under "NC" to unlock six bonus cars (two per level). 

Fourth, fifth, or sixth place in the end of year championship race in all 
three levels under "NC" to unlock three bonus cars (one per level). First place overall in each all three levels under "TC" to unlock nine bonus cars (three per level).
Second or third place in all three levels under "TC" to unlock six bonus 
cars (two per level).
Fourth, fifth, or sixth place overall in all three levels under "TC" to 
unlock three bonus cars (one per level).