Achilles surrenders Briseis to Agamemnon, Roman, 1st century CE, Pompeii, House of the Tragic Poet, Naples National Archaeological Museum (Wikimedia Commons, Public domain)
Tripod often lists a translation under the author's name + translations :
The Oxford Bibliography Online essay on Homer recommends these translations. Those done by Wilson, Green, Fagles and Lattimore are verse translations. Wilson's new work has been widely praised for its contemporary feel. Murray's translations in the Loeb series are prose versions and can be relied on for literal accuracy:
To find a text in English or Greek, search in Tripod, the tri-college library catalogs.
You can search by:
I. Standard Editions
A series of Greek and Latin texts with facing page English translations begun by James Loeb. Now published by Harvard University Press but started in 1912 by the publisher William Heinemann. The critical apparatus is minimal at best and can be supplemented by a more scholarly edition. There are over 500 Loeb volumes. They are available both in an online version and in print volumes.
Greek Loeb Volumes PA3611-PA3612 in green bindings (Other copies shelved with individual authors.)
Digital Loeb Classical Library (all volumes available online)
Also a series of Ancient Greek and Latin texts with critical notes. Teubner has been publishing longer than Oxford and has the greatest number of texts available in modern editions with extensive notes. There are 1600 records in Tripod.