No drones mode:
Press Square, Square, Circle, Circle, L1, R1, Start.

Expert mode:
Press Circle, Square, Circle, Circle, Square, Start.

Randoms mode:
Press R1, R2, Square, Circle, R1, R2, Start.

Atomic Snowballs mode:
Press Square, Square, Square, L1, Circle, Start.

Grappling Hooks and Randoms mode:
Press Circle, Circle, L2, Circle, Circle, L1, Start.

Rooster Tails mode:
Press R1, R2, L2, L1, Square, Start.

Snow Bombs and Randoms mode:
Press Circle, Circle, R1, R2, Start.

Boost mode:
Press Circle, R1, R1, Circle, R2, Start.