Mahjong Taikai II, a sequel to a previous Mahjong Taikai game (likely also on the SNES), offered a refined and enhanced Mahjong experience. It provided players with a chance to participate in a tournament setting, featuring various opponents with different play styles.  The 'II' in the title indicates it is a sequel, suggesting improved graphics, potentially more diverse game modes, and a more polished gameplay experience.  Pinpointing the exact developer without access to original documentation would be challenging.

Mahjong Taikai II (Japan)

Mahjong Gokuu Tenjiku (Japan)