The Lion King is a licensed platforming game that is an adaptation of the Disney animated movie of the same name. It generally follows the plot of the movie, from Simba's cub years to his reclamation of Pride Rock from the evil Scar. Like most licensed games, portions of the movie that don't have much action have been given more to do in the game for gameplay purposes.
EZGames69, SBDWolf, and Akiteru improve on the previous run by 00:29.568 thanks to a new method of skipping geyser eruptions. For more information on these improvements, reading the authors' submission comments is highly recommended.
You can check out a TAS of the slightly different Genesis port here.