You should know the drill, but if it is the first time: there is a whole new world with NEW PUZZLES, but hidden. To unlock that world you have to LOSE the first level. "Try again" must appear on the screen when you lose. Once that happens you will hear the victory music. Go to the map and the new world will be unlocked.
If you want a tip in how to do that: keep poking the gray toad (lots of pokes).
I'm looking for feedback on two things: the loading screens and the new levels. Since the loading screens force a slowdown, you can skip that by pressing Z or from the options menu. The loading screens are unlocke by beating the old levels. There are loading screens that appear only when you lose, like in "cooperation".