Robert Fagles (1996) Sing to me of the man, Muse, the man of twists and turns driven time and again off course, once he had plundered the hallowed heights of Troy. Many cities of men he saw and learned their minds, many pains he suffered, heartsick on the open sea, fighting to save his life and bring his comrades home.
The Man, O Muse, informe that many a way Wound with his wisedome to his wished stay; That wanderd wondrous farre when He the towne Of sacred Troy had sackt and shiverd downe. The cities of a world of nations, With all their manners, mindes and fashions, He saw and knew; at Sea felt many woes, Much care sustaind, to save from overthrowes Himselfe and friends in their retreate for home. George Chapman (1616)
The man for wisdom's various arts renown'd, Long exercised in woes, O Muse! resound; Who, when his arms had wrought the destined fall Of sacred Troy, and razed her heaven-built wall, Wandering from clime to clime, observant stray'd, Their manners noted, and their states survey'd, On stormy seas unnumber'd toils he bore, Safe with his friends to gain his natal shore: Alexander Pope 1725
Sing in me, Muse, and through me tell the story of that man skilled in all ways of contending, the wanderer, harried for years on end, after he plundered the stronghold on the proud height of Troy. He saw the townlands and learned the minds of many distant men, and weathered many bitter nights and days in his deep heart at sea, while he fought only to save his life, to bring his shipmates home. Robert Fitzgerald (1961)
Tell me, Muse, of the man of many ways, who was driven far journeys, after he had sacked Troy‘s sacred citadel. Many were they whose cities he saw, whose minds he learned of, many the pains he suffered in his spirit on he wide sea, struggling for his own life and the homecoming of his companions. Richard Lattimore 1967
 Tell me, O Muse, of that many-sided hero who traveled far and wide after he had sacked the famous town of Troy. Many cities did he visit, and many were the people with whose customs and thinking [noos] he was acquainted; many things he suffered at sea while seeking to save his own life [psukhê] and to achieve the safe homecoming [nostos] of his companions;Troyhomecoming Samuel Butler [1900?]
Tell me, O Muse, of that ingenious hero who travelled far and wide after he had sacked the famous town of Troy. Many cities did he visit, and many were the nations with whose manners and customs he was acquainted; moreover he suffered much by sea while trying to save his own life and bring his men safely home; Samuel Butler [1921?]
 Tell me, O Muse, of the man of many devices, who wandered full many ways after he had sacked the sacred citadel of Troy. Many were the men whose cities he saw and whose mind he learned, aye, and many the woes he suffered in his heart upon the sea,  seeking to win his own life and the return of his comrades. A.T. Murray, 1919
Tell me, Muse, the story of that very resourceful man who was driven to wander far and wide after he had sacked the holy citadel of Troy. He saw the cities of many people and he learnt their ways. He suffered great anguish on the high seas in his struggles to preserve his life and bring his comrades home. Emil Rieu and DCH Rieu (1946)
Tell me, Muse, of the versatile man who was driven off course many times after he had sacked the holy citadel of Troy. Many were the peoples whose cities he saw, and whose minds he got to know; and at sea many were the pains he felt in his heart as he tried to secure his own life and his comrades’ return home. R.D. Dawe 1993
The Man... that many a way Wound with his wisedome.... The man for wisdom's various arts renown'd that man skilled in all ways of contending the man of many ways that many-sided hero that ingenious hero the man of many devices that very resourceful man the man of twists and turns the versatile man
πολ ύ πολ ύ -τροπος, ον, (τρ έ πω) A. much-turned, i.e. much-travelled, much- wandering, epith. of Odysseus, Od.1.1, 10.330.τροποςοντρ έ πω Od.1.1 10.330 II. turning many ways : metaph., shifty, versatile, wily, of Hermes, h.Merc.13, 439 ; “ το ῖ ς ἀ σθεν έ σι κα ὶ π. θηρ ί οις” Pl.Plt.291b ; and in this sense Plato took the word as applied to Odysseus, Hp.Mi.364e (Sup.), al.; τ ὸ π. τ ῆ ς γν ώ μης their versatility of mind, Th.3.83 ; τ ὸ π., of Alcibiades, Plu.Alc. 24. h.Merc.13 439 το ῖ ς ἀ σθεν έ σικα ὶπθηρ ί οις Pl.Plt.291b Hp.Mi.364e τ ὸπ τ ῆ ςγν ώ μης Th.3.83 τ ὸπ Plu.Alc. 24 2. fickle, “ ὅ μιλος” Ps.-Phoc.95. ὅ μιλος 3. of diseases, changeful, complicated, Plu.Num.22 ; also “ π ό λεμος το ῖ ς π ά θεσι ποικ ί λος κα ὶ τα ῖ ς τ ύ χαις πολυτροπ ώ τατος” Id.Mar.33 ; “ στρατε ί α” Eun.Hist. p.223D. π ό λεμοςτο ῖ ςπ ά θεσι ποικ ί λοςκα ὶτα ῖ ςτ ύ χαιςπολυτροπ ώ τατος στρατε ί α III. various, manifold, “ ξυμφορα ί ” Th.2.44 ; ἐ πιθυμ ί αι, ἐ θισμο ὶ τ ῶ ν λ έ ξεων, Epicur.Fr.471, Nat.28.1 ( p.7V. ); “ κακ ά ” Ph.2.567 ; “ ἔ θνη” Plu.Marc.12 ; “ τ ύ χαι” Id.Alc.2 ; “ ὄ ργια” Lyr.Alex.Adesp.36.3 ; “ τ ὸ π.” Phld.Sign.26. Adv. “- πως” in many manners, Meno Iatr.20.31, Ph.2.512, Ep.Hebr.1.1, Iamb.Comm.Math.12 : Comp., “- ωτ έ ρως κα ὶ ποικιλωτ έ ρως” Epicur.Nat.5 G. ξυμφορα ί Th.2.44 ἐ πιθυμ ί αι ἐ θισμο ὶτ ῶ νλ έ ξεων κακ ά ἔ θνη τ ύ χαι Id.Alc.2 ὄ ργια τ ὸπ πως Ep.Hebr.1.1 ωτ έ ρωςκα ὶποικιλωτ έ ρως Henry George Liddell. Robert Scott. A Greek-English Lexicon. revised and augmented throughout by. Sir Henry Stuart Jones. with the assistance of. Roderick McKenzie. Oxford. Clarendon Press. 1940.
I want to acknowledge the help of Eric McMillan’s website “Translations of the Odyssey” http://www.editoreric.com/greatlit/translations/Odyssey.html And of the Perseus Project < http://www.perseus.tufts.edu/hopper/text.jsp?http://www.perseus.tufts.edu/hopper/text.jsp doc=Perseus:text:1999.01.0135doc=Perseus:text:1999.01.0135> And Ian Johnston’s Published English Translations of Homer's Iliad and Odyssey http://records.viu.ca/~johnstoi/homer/homertranslations.htm