Dude, what is with people an drawing eyes? I don't have anything agaisnt you, it's just that I've seen loads of people who just have a whole sketchbook full of eyes. They spend like an hour a day drawing eyes or something. Is it fun? xD
Alrighty, since you are intending to so this 'anime' (ew... hate that word) styled eye. I'd like to point out that cartoons are always related to real life. It's common that people forget this and think they should keep cartoons and reality separate. Once you do make the connection between real life and cartoon, that's when you can style things a lot more easier. So the first thing I'd do is learn how to draw a real eye.
Observe this eye. Then draw it
-blah blah blah- (I wasn't sure what to say but I felt that i should say something xD)
MUH. I sketched out something for you.
http://i246.photobucket.com/albums/gg100/HappyVeggies/bobooasdjkas.png
T-T Gawd, I seriously can't do this 'anime' thing. As you can see, the eye has a distinct shape (please figure out the shape because I don't know how to explain it). The shape sorta reflects onto the more cartoon version. Same goes with the lines on the iris and stuff. They got highlights too since eyes are always wet. Your highlights shouldn't be blurry 'cause that suggests that the eye isn't smooth and it's a tad rough (must suck if you have rough eyes). The only blurriness in the highlights of the eye should only appear if you are putting tons of bloom into it. The pupil shouldn't be blurred at all, if you know how a real eye is constructed the iris is really just a hole. The only reason why the pupil looks a little blended outwards id because the iris is a tad darker around the pupil, making it look as it if it's blended in a tad more.
So the lesson is: Understand how the thing works in real life in order to improve it in cartoon. It's all just the process of observation and apllication. Do this with nearly everything, not just eyes. Even if you are being delibrately abstract, it's good to know components of things so that you can bend them.