Kill an enemy while Player 2 controls it.
Get the 1-Up from the Bonus Block in "Well... Level 1!".
Get the 3-Up Moon in "Forest n' such".
Finish the Castle.
Complete all Teamwork levels.
Finish "Well... Level 1!" while Player 2 controls a Banzai Bill.
Finish "Watery Ruins" damageless without releasing the 'Right' button after passing the first platform.
Finish "Forest n' such" without touching the ground after the Exit sign.
Finish "Underground Moveage" with 240 seconds left or more.
Finish "Some Castle" damageless without using the checkpoint.
Finish "TEAMWORK!" without taking damage.
Finish the Red Switch Palace without taking damage.
Collect all Dragon Coins in "Well... Level 1!".
Collect all Dragon Coins in "Watery Ruins".
Collect all Dragon Coins in "Underground Moveage".
Collect all Dragon Coins in "It's up to Player 2".
Die in the Demo and crash the game.