Successfully complete the tutorial to unlock Arcade mode.

Successfully complete the Egypt world in Arcade mode to unlock Challenge mode.

Successfully complete Arcade mode to unlock Mission mode.

Connect all the dots on the bonus levels to unlock Relax mode.

Successfully complete the tutorial to unlock Versus mode.

Successfully complete Mission mode to unlock the alarm clock.

Successfully complete the indicated world in Arcade mode to unlock the corresponding weapon:

Whirlwind: World 2
Homing Shot: World 3
Shield: World 4
Fireballs: World 5
Weapon Steal: World 6
Repulse Shield: World 7
Stop Time: World 8