Complete the game without using any continues to enter Super mode. In this mode, you can jump six instead of three times in a row. Press Triangle to fall faster and do more damage when landing on enemies. Press L to run faster and jump farther.
Complete the game to unlock to be able to replay levels with added, moved, or missing objects. Each level will also have a time limit. Additionally, go to the stage select screen, and scroll through all the levels until the word "Extra" appears. Restart the game to be able to jump five instead of three times in a row.