How To Get To 3rd Star Road Entrance:

In the "Cheese Bridge Area" level, you must be equipped with a cape. Near the end (before the last set of saws) fly up using the log bridge as a runway. What you have to do is actually fly UNDER the goal (press right), then lift yourself back up so you don't go below the screen and die(press left to stabilize Mario). After reaching the platform behind the goal, fly to the right again to reach a second goal. You will be rewarded with 1-Ups, then gain entrance to a tough level called Soda Lake (the ONLY level in the entire game with underwater "Missile Bills") after beating this level then it's off to Star Road #3.