Yeah, the SNES game was The Ninja Warriors Again in Japan and just The Ninja Warriors in the US and Europe. It’s much better than the arcade game and that’s what The Ninja Saviors: Return of the Warriors (Ninja Warriors Once Again in Japan) is built on. It’s a remake with some additional levels and characters. Zuntata soundtrack again I believe.
Anyway, it was kinda late because it arrived early in 1994 but it was still prime 16-bit era. Sony PlayStation and Sega Saturn were definitely known quantities by then but not yet released.