Beat Hard Mode without losing one life to unlock extra mode, a difficulty one step higher than hard mode.
Beat the game and save your data. When you start No More Heroes 2 again you will be brought to the intro fight where you have all your old equipment and items from the previous game.
If you have a save file from the first game any of the masks you got will be displayed on the walls of your room.
When you run out of health, you can keep Travis from dying by shaking the Wii remote and nunchuck repeatedly as he begins to fall over. If you do it correctly, Travis will not die, and comes back with a small amount of health. This can be done up to five times before Travis finally dies. Note that this will not work if you run out of health while already laying on the ground.
In your room, have Jeane lose weight by playing mini-games with her.