Ancient Greek, Revised Edition: A New Approach

I think that this is one of the better Greek language books out there. It presents the information in a very unique (and, I believe, more structurally sound) way. The "horizontal" approach to grammar is much more practical than the traditional paradigm, or vertical, approach. This book allows you to learn grammar as a means towards communication, rather than as a list of rules to be memorized and, if possible, applied later. I would recommend using this book, and perhaps supplementing it with another, more traditional, Greek textbook. After all, it certainly doesn't hurt to approach the material from multiple angles.