Historical radio news broadcasts can be difficult to find. Here are two sources to consult in addition to web searching.
A mix of contemporary and historical radio and audio recordings.
Television broadcasts tend to be easier to find than radio broadcasts. Try these sites in addition to YouTube.
For an idea of the landscape of contemporary religious television programming, look at this list of the hundreds of channels available through the Roku streaming service. (You need to scroll for a while to see non-Christian programming.) Many of these channels also put some, or all of their programming on the web for free.
Selected religious stations available to view on the web:
Christian Broadcasting Network (CBN)