This is the 5th published movie in a category of impressively fast Super Mario World TASes. It beats the game by jumping to the credits from one of the two levels available from the start, Yoshi's Island 2. This happens because a glitch involving eating a Charging Chuck allows manipulating the code being executed by the game using only controller input.
This run is 00:00.13 seconds faster than the previous movie thanks to better movement and a more efficient payload. Reading the submission comments for more information is highly recommended.
For more movies like this, see this list of TASes that execute arbitrary code.
You can watch this movie played on a real hardware here.