Thanks for all the helpful responses. I've got the UBS Reader's Greek New Testament, and that's been wonderful.
As far as classical works, Alan: what authors or genres would be a) most effective to enhance reading of the New Testament and patristic writings and b) easiest for a beginner? I really know very little about classical Greek. Are there particular resources I should start with?
Textbooks, Graded Readers, Beginner Resources and links, Teaching aids, etc.