Quick reset
Press L, R, and Start simultaneously to return to the title screen without saving.

Unlock Special Worlds
Beat the final Bowser in World 8 to unlock the Special Worlds. On the map screen, enter the pipe at the beginning of the world to switch between normal and special.

Unlock Luigi
You'll unlock Luigi after beating Special 1-Castle. Switch between Mario and Luigi on the map screen by tapping the "M" or "L" logo on the touch screen.