Right after I wrote my post I checked my FB feed and saw that George Stephanopoulos is quietly lobbying for the job. I hope that doesn't happen.
I can see Anderson Cooper -- but CNN pays him $12 million a year plus he gets to moonlight for 60 Minutes which I understand he enjoys. He could do marathon tapings of the show a few days a month and squeeze it in his schedule -- but how much does he really want to work? Can't answer that.
Article from Newsweek "LeVar Burton Touted as Alex Trebek 'Jeopardy' host replacement"