I just tried drawing InuYasha&Hamtaro characters. Over&over until I got things the eyes&'anime things' down perfectly.
Simple I know, but that's how I got started.
After that I got those "Learn to draw manga" books and did my homework on the bodies. : |

Now, I can't say I draw anime anymore-
I more or less branched off into a more realistic-style with the anime face. : |
BUt, that's just cuz I can't draw realistic faces anyways. : P