Fagles's translation of the Iliad is more accessible and faithful to the original text, while Chapman's translation is more poetic and idiosyncratic.
Rage—Goddess, sing the rage of Peleus' son Achilles,
murderous, doomed, that cost the Achaeans countless losses,
hurling down to the House of Death so many sturdy souls,
great fighters' souls, but made their bodies carrion,
feasts for the dogs and birds,
and the will of Zeus was moving toward its end.
Achilles' baneful wrath resound, O Goddess, that impos'd
Infinite sorrows on the Greeks, and many brave souls loos'd
From breasts heroic; sent them far to that invisible cave
That no light comforts; and their limbs to dogs and vultures gave:
To all which Jove's will gave effect; from whom first strife begun
Betwixt Atrides, king of men, and Thetis' godlike son.