BTW, watch Troy with Brad Pitt. It's got its points but it really deemphasizes the gods. It takes liberties but it's fun.
Then read the Odyssey. The Odyssey is a little stranger because it's kind of told backwards.
Then Virgil's Aeneid. Virgil is 'plagiarizing' Homer and steals a minor character Aeneas; so it helps to know the Iliad+Odyssey to get the homage. There is a really good course/podcast on the Aeneid by Susanna Braund from Stanford.
https://podcasts.apple.com/us/podcast/virgils-aeneid/id38423...
There is also the Harvard class, the Ancient Greek Hero, which may help.
https://online-learning.harvard.edu/course/ancient-greek-her...
Thucydides The Peloponnesian War has great parallels and lessons. In the middle of the war, some idiots ( Alcibiades) decide to attack Sicily because it was going to be easy and the war will pay for itself; they get their asses kicked. You can read this as an allegory for Iraq, an expensive pointless distraction led by idiots. There's also the Siege of Melos.
Yale has a good course by Donald Kagan (Project for a New American Century Donald Kagan) that has background for all this.