The Homeric Iliad contains summaries of maybe hundreds of old legends and myths, mostly Greek and found in other summaries of that legendarium. Eight years ago André Lardinois pinpointed two - which are disputed elsewhere in the epic.
Lardinois believes that the poet intended them to be taken as lies. He brings seven criteria for their ... I suppose, barbarity. Specifically his choices are what Homer calls "Phoenician": that great Other for the Archaic Greeks, what with their Canaanite book-larnin' and mathematical sorcery.
One concerns Tethys and Oceanus, parents of the gods. Here Hera is begging of Aphrodite her magic Venereal bracelet; and of Sleep, because Hera is trying to knock Zeus out for awhile. Sleep, at least, is aware that Oceanus is parent only to rivers... if you're Greek. The Babylonian Enuma Elish, contemporary with Homer, assumes less-ironically that the world came from the salt and clear waters, an ancient Iraqi trope that might even be Sumerian. For Eudemos of Rhodes, likely looking to Aramaic, the two waters were Tauthe and Apason. It's not that Tauthe<*Tjavat/Tiamat had any real etymology with Tethys; for Lardinois, suffice that the names were close-enough for the goddess to lie about it.
The other concerns the division of the cosmos by lot. That sounds positively Deuteronomic. And indeed we don't see this in mainline Greek or otherwise IndoEuropean storytelling. Zeus is simply the god in heaven; Poseidon gets the sea, and Hades gets the underworld. Where we find three gods of heaven, sea, and earth casting lots is in Ugarit. I take it that Greeks didn't really own an earth god, instead having various earth mothers: Demeter, Gaia, Rhea and I'm sure I'm missing some. Seems reasonable that this be Phoenician as well.