While ThunderCats is famously rooted in Egyptian aesthetics—exemplified by the mummified Mumm-Ra and his Black Pyramid—the series frequently integrated Greek mythological motifs into its episodes. These influences appear through specific characters, legendary weapons, and "Epic" storytelling structures reminiscent of Homeric tradition. Mythological Archetypes and Episodes
In 2011, Cartoon Network rebooted ThunderCats with an anime-inspired aesthetic. Fans hoped the reboot would revisit the "Greek episodes" concept. Unfortunately, the reboot leaned heavier into Japanese mythology (Panthro wielding nunchucks, the "Duelist" episode) rather than Greco-Roman tales.
It seems you're looking for episodes of the classic 1980s ThunderCats animated series that have a Greek mythology theme.