"The Daily Show with Jon Stewart" starts on 1996, although Stewart began hosting The Daily Show in 1999. The cast also lists Craig Kilborn, who was a host before Stewart.
This show also listed as ended. And It 's not. So it seems all about hosts.
So I propose to limit "The Daily Show with Jon Stewart" to 1999 and make a separate page for The Daily Show with Craig Kilborn (from 1996 to 1998) and delete Kilborn from a cast of 'The Daily Show with Jon Stewart".