This is a technique I've been working at for years, because the two ideas just have seemed so incomparable. Normally when I make eyes on my characters, I do it as a really flat set of faces that's textured with the details of an eye, though details like the eye lid do wind up being modeled apart from the eye, the limitation for me has always been that it's not a convenient set up for making animations where the characters eyes move.
But after about 14 failed attempts over 4 years, I finally came up with a technique, that I am satisfied with.

Recently, I've been trying to make my personal art style a strong medium between American and Japanese animation. How successful I am with that is questionable. But I'd like to know if what you think about my new found eye technique, and if you think there's anything off, let me know.