As of 2015 the three games in the "Super Mario World" series are the self-titled original game, "Super Mario World 2: Yoshi's Island" and "Super Mario 3D World." There have also been several remakes and spin-off games, such as "Super Mario World: Super Mario Advance 2."
"Super Mario World" and its sequel are widely considered to be part of the mainline "Super Mario Bros." series that began on the NES. While "Super Mario World" is effectively the fourth "Super Mario Bros." game (and was actually subtitled as such for its Japanese release), "Super Mario World 2" took the series in a somewhat different direction by having Yoshi be the primary playable character. "Super Mario 3D World" is a 3D platformer for the Wii U and has no particular special relationship to the previous "World" games. All of these games have enjoyed good popularity with audiences.
"Super Mario World: Super Mario Advance 2" was a port of the original "Super Mario World" to the Game Boy Advance with some small changes. The alternating two-player mode was removed, but Luigi could be selected as a playable character. Voices by longtime series voice actor Charles Martinet were also added to the game, and some small alterations were made to the design of certain levels.