As someone who draws what people call anime, I would say work on anatomy first. Because what mainly makes something look anime, is the hair, eyes, and the shape of the jaw. Most of the time shows on tv have really long limbs and huge heads and or boobs. Draw whatever style you like, but some knowledge of anatomy will help you. I have been trying to get myself to study anatomy more, and when I do, I use posemaniacs.com, it's an awesome website.
