https://www.latimes.com/archives/la-xpm-2008-dec-19-oe-stein...
Global news media is dominated by Rupert Murdoch (not Jewish) and while the second tier lesser Murdochs are mostly rich billionaires not many are Jewish.
eg: Arthur Sulzberger Jr. (recent chair of The New York Times company) is neither Jewish by birth—according to traditional Jewish law—nor by choice. (He was raised Episcopalian, his mother’s faith.)
Murdoch (owner of Fox, Sky, NY Post, and WSJ, among others) gets a lot of (negative) attention as a dissenting voice, but I'd hardly say he dominates news media.
And couldn't you find a better second example than someone who is only technically not Jewish, because his father is Jewish, not his mother? His father, grandfather, and great-grandfather (all Jewish) previously ran the NY Times.