Achillean is a broader term, like "sapphic" for women loving women. It encompasses gay men (same-sex attraction only), bisexual men, pansexual men (multi-gender attraction), and non-binary people attracted to men. It draws inspiration from Achilles and Patroclus, a warrior couple in Greek myth.

Homosexual, historically, referred to any same-sex attraction, but now often specifies men attracted only to men.

Both terms offer LGBTQ+ men an alternative to clinical terms like "MSM" (men who have sex with men) and reclaim a more romantic, nuanced language for their attractions.

So, Achillean love encompasses homosexual love but may include broader ranges of attraction as well. It's about reclaiming identity through historical reference and fostering a wider vocabulary for male-aligned attraction.