Besides being a playwright, who among the following has translated homer?

The correct option is George Chapman.

George Chapman (c. 1559 - 1634) was an English dramatist, translator, and poet. He is deeply celebrated for his translations of Homer's classical epics into English verse.

Chapman published his translation of the Iliad in installments starting in 1598, completing the full translation of both the Iliad and the Odyssey by 1616. His translations became highly influential in English literature, famously inspiring John Keats's renowned sonnet, "On First Looking into Chapman's Homer."

While the other figures listed (Ben Jonson, Thomas Dekker, and Thomas Heywood) were also prominent playwrights of the Elizabethan and Jacobean eras, they are not primarily known for translating Homer's works.