Another tragic hero of Greek mythology who may be compared to Túrin is Oedipus. I vividly recall seeing a performance of both stories as drama by the Greek Tolkien Society in Birmingham, highlighting the parallels between the two* as victims of an overwhelming fate, unable to escape even when flying from it. Both unknowingly married a member of their family incestuously, a situation which resulted in their respective deaths at their own hands.
This has been noted by others previously; for a start, check out
Michael Martinez' comments.
*...who were played by the same actor, thus emphasizing the parallels even more.
__________________
'Mercy!' cried Gandalf. 'If the giving of information is to be the cure of your inquisitiveness, I shall spend all the rest of my days in answering you. What more do you want to know?' 'The whole history of Middle-earth..
.'