It's pretty well known that in the original Super Mario Bros. game that you can warp from World 4-2 to either 6, 7, or 8 by using a hidden Vine, but what you might not know is that there's another way.
Toward the beginning of the level, you have all these blocks making a path. What you want to do is to scroll one of the columns halfway off the screen so that when you go back to break them, they make a 1/2 block-width column.
If you duck-jump into this column and then stand up, Mario will start to slide toward the right.
If you start walking to the right just as he gets to the edge of the screen, it'll start to scroll. You're going to want to stay as far to the right as possible (which is kind of tough, since you can't really see what's coming). You might want to back up a little bit so you can see stuff like that moving platform across the first pit.
An alternate method would involve making the Vine appear here, scrolling so that the block that sprouted it scrolls halfway off the screen and then trying to jump on it. Done right, you'll be teleported to the far right of the screen. Done wrong, though, and you risk getting Mario stuck until the time runs out.
Make your way to the third pipe and enter it
If you were far enough over, you will be whisked away to the Warp Zone instead of the bonus room you would be expecting!
Amazing!