Pixar and Disney have been among the most influential and revolutionary companies in terms of rendering techniques. And most of their products are stylized.
Stylized looks come from the assets, not from the rendering engine. The rendering engine gives you physically correct light interactions (which you almost always want, and even then you can turn knobs to make it non physically correct or outright do whatever you want using shaders), things like fur/hair rendering, fluid simulations, volumetrics etc. All these things can be tweaked to non realistic values by the artist.
If you want a movie/game where characters are made of wax, or fire, or smoke, or something even crazier with shaders, you want as a basis a renderer that is physically based and uses mathematical models based on the real world, and then tweak from there.