Start with A Brief History of Ancient Greece to get a sense of the social-political-historical context. If you have time, Hamilton's Mythology. Then Homer. Opi

Start with A Brief History of Ancient Greece to get a sense of the social-political-historical context. If you have time, Hamilton's Mythology. Then Homer. Opinions vary on which translation of the Iliad is best (and it makes a huge difference). I'd stay away from Pope which is more of a remake than a translation. Lombardo is very modern. Lattimore is typically used for academic purposes. I would recommend Fagles. After that, it depends on what you're into. Philosophy? Pre-Socratics -> Plato -> Aristotle. What you choose here again depends on what you're into. There's politics, metaphysics, ethics, aesthetics, etc. History? Herodotus -> Thucydides -> Xenophon (The Landmark series for all 3) Theater? Oresteia, Medea, the Theban Cycle. Mythology? Hesiod.