Well, for artwork, there is a lot of different paths you can take in what you want to draw (still life, distortion etc.) but if you want to draw anime, then that would fall into anatomy (for example, the way a face is made). I would suggest the first step is looking at faces, not necessarily anime faces, as the placement of the features of the face rarely differ between the realistic and anime. Next, you would want to start practicing drawing piece by piece, start with say the eyes, and once you have perfected them, move on to other facial features. Finally, practice and time are two of the most important things that make up a good drawing, as if you try to rush into a drawing straight away, the drawing will look just that; rushed. If necessary, look up some Internet guides on how to draw the anatomy, and most importantly-
Good luck!