Give a cat with specific genes a very small chance to come out absolutely massive. They could potentially be barred from wearing clothes, to make things easier (perhaps with the option to let people submit custom clothes for them?).
They could also be barred from breeding, to make them more rare. So once in a while, you'd be scrolling through someone's cats and just see one (1) giant-massive boy, as a bit of a fun-but-mostly-useless oddity.
Did a quick sketch for a laugh
Convenient for players? No. Easy to implement? Probably not. A whole lot of fun? Respectfully, I would sell a kidney for this. So. Yes. IMO.