This 1946 Rieu translation, revised and updated in 2003 by Jones and another Rieu, begins with lists of the main characters in groups and 5 maps. At the end, there is a glossary and a list of omitted fathers' names. The introduction can be spoilery, but each chapter of the story comes with a short plot description and smaller side-titles, which can be helpful for finding specific points.
Composed around 700 BC from oral tradition stories, this book only presents part of the 'Greeks go against Trojans to get back one leader's wife' story. It may feel strange to see where it ends before the war is truly over. Achilles doesn't die yet, though he knows he will, and Ilium is not yet conquered.
During the story, one might change their mind about which side deserves more favor. The gods act both human-like and according to their own logic, and the humans may or may not realize they are being influenced. The battles have variety, and there are graphic and dark descriptions of death. Sacrifices to the gods are made often, but they don't always work.
Pasts are recalled, there are flash-forwards, and the POV switches from "he" to "you". The storyteller also comments on the actions and beliefs of the characters. I was surprised to see Athos mentioned in chapter 14 and had to check about lions in Greece.
Although the story is somewhat simple, it's far from boring. It shows the various moods during battles, the nature of death, and how quickly the dominance can change. The story may end before the war is over, but what happens here has consequences for both Achilles and Ilium. It's easy to see why this is a classic. Now, it's time to read the Odyssey.