Stylized graphics are just superior in every way to me. They age better, they leave more of an impression, they're more interesting to look at, they're unique, they often go along with creative gameplay and storytelling, and they just look better.
Realistic graphics, on the other hand, became out-dated and ugly after only a few years and end up being really dull to look at after a certain point, which pretty much all current games that go for realism have reached.