Remembering Dogz and digging through the Wikipedia rabbit hole, I just learned that PF Magic [1], the developer for Dogz/Catz, were also responsible for the SNES 3D fighting game Ballz [2], and its programmer later went on to develop the open-ended experimental adventure game Facade [3]. I knew of the existence of all of them but didn't knew they were all connected!
[1]: https://en.wikipedia.org/wiki/PF_Magic
[2]: https://en.wikipedia.org/wiki/Ballz
[3]: https://en.wikipedia.org/wiki/Fa%C3%A7ade_(video_game)