I am using Clyde Pharr's Homeric Greek: A Book for Beginner's to learn Ancient Greek. I will post each lesson here as I work through them. I will also incorporate other resources and will include them into my lesson pages.
You can download a free copy of Pharr's Homeric Greek here. If you would like the latest edition, you can purchase it here.
Answer key to the exercises: link.
Additional Resources:
Homeric Greek Resources
The Homer Homepage
Walter M. Roberts III, PhD
Elpinor's Home of the Greek Word
Hellenistic Greek
A Digital Tutorial for Ancient Greek
Textkit
LSJ Lexicon
Iliad Book 1 in Greek on YouTube
Ancient Greek verb conjugation