From Wikipedia:
Super Mario All-Stars known in Japan as Super Mario Collection (スーパーマリオコレクション) is a compilation featuring remade versions of all three Super Mario games released for the Nintendo Entertainment System (Super Mario Bros., Super Mario Bros. 2, and Super Mario Bros. 3), as well as the Japanese version of Super Mario Bros. 2, which is included in the compilation under the title of Super Mario Bros.: The Lost Levels. It sports graphic enhancements, glitch fixes, and the ability to save one's game, allowing the player to restart from a save point instead of from the beginning, should a player lose all of their lives. These graphical enhancements would serve as the basis for the Game Boy Advance ports of Super Mario Bros. 2 and Super Mario Bros. 3.