I'm encouraged by lists with works I've read, seen, or heard before, which is rare. But in this case, I've actually read all of them except Harry Potter (did see the movie of course). Naturally, I have one more influential work to suggest: Virgil's Aeneid, which was so influential in the classical period, the Christian Middle Ages, and the Renaissance that readers believed picking a random page could foretell the future (Sortes Vergilianae). The Latin epic had a major influence on Dante and Cervantes.

You made an excellent point about the role of women and slaves in Homer; the issue is even more problematic in Virgil. (A footnote: the most interesting--and subversive--classical author dealing with gender and patriarchy is in my opinion Euripides.)