Don't expect the full version on Youtube, though; the 24 books seem to all take an hour of each, and I don't think anyone has cared to spend a full day reading ancient Greek into a microphone yet, let alone recite it for an audience.
Unfortunately, I can't really find an audiobook version of the English translation of the Iliad. Perhaps AI can be used for chores like this, as human speakers would probably lose the rhythm often, which I imagine must make accurate audiobook recordings in this style quite difficult.
Wasn’t he a Classics scholar at arguably the best university in the world? That’s exactly who’d I expect to be able to recite it!
Edit: “Johnson won a scholarship to study Literae Humaniores at Balliol College, Oxford, a four-year course in Classics, ancient languages, literature, history, and philosophy” … also won an academic prize for Classics at Eton, which is notably academically rigorous