score:10
His tomb was found in 1957; a detailed report,
Reconstructing King Midas: A First Report, by A. J. N. W. Prag, Anatolian Studies, Vol. 39 (1989), pp. 159-165 (9 pages) Published by: British Institute at Ankara
details a reconstruction of his face from the body found in the tomb; see p. 9 of the article, available on JSTOR:
Upvote:3
I don't know about portraits, but there are coins depicting him.