Adventure Island 2:

Level select:

Wait until Higgins is hit by the coconut on the title screen.

Then, press Right, Left, Right, Left,

A, B, A, B.

Continue game play:

Locate the fifth skull in the first cave on the first island.

Walk past the skull, them up and down to discover a hidden room.

Collect the Hudson bee logo from this room.  Hold Left

and press Start at the game over screen to continue game

play with all prior items at the last level played.