You should definitely start with the Iliad and Odyssey if you want to get into Ancient Greece. If you can get ahold of the Lattimore translations you shouldn't have any trouble. I've never really found an Aeneid translation that I really liked, but that's Roman anyway. if you are focusing on Greece, I'd wait on that. If you are going to read philosophy, I'd start with the Socratic dialogues, then Plato, then Aristotle. The progression will make more sense. Other things I'd suggest:
Plays by Sophocles, Euripides, and, Aeschylus
Herodotus' History (first real attempt at history--kind of long, but some amusing parts; more worth skimming than reading entirely)
Thucydides' History of the Peloponnesian War (first real political history/science--probably the best history of a war ever written--at least the most influential)