Out of curiosity... what format did you save that in? I highly suggest you use *.png, as the compression quality looks horrible on that.
As typical-beginning-'anime'-eyes go, they're not too bad, though it might do to try drawing them a bit smaller, particularily the pupils. The thing I've noticed when people try to draw eyes like that is that, unless done correctly, they just end up looking cheap and flat ( as we recognize that unless the eye is sticking out a very good deal, there's no way they can be spheres and still fit inside the head if such a large area has little to no noticable curvature ) .
You've got the tube-arms going, and might want to try studying your own arm to see what the shape is like - there's a muscle on the back-upper arm which forms into a 'ball' when the arm is outstretched, particularily for the less muscular, the bones of the elbow, the wrist is far thinner than the rest of the arm, etc.
You should also try the hand in different positions. I've always found that a hand just off of profile - with the fingers mostly lined up but skewed slightly - is the easiest way to draw hands, for myself, and it ends up looking more natural than 'flat hands.'
Lastly, aside from what I said in my last post, you could try working with a more realistic drawing style. As you get better, you can learn to see how the original 'anime' style was developed, letting you better know what looks 'right' and 'wrong,' which is really most of what art is, as far as making lineart goes.
I've tried to mostly avoid certain aspects of cartoon styles, and have found that when I'm trying to find a way to simplify down how to draw a certain character, I'll often end up with what looks like other well-known methods, which, while not what I was trying for, is what a lot of other people seem to want to do.