Use the_terms()
:
the_terms( $id, $taxonomy, $before="", $sep = ', ', $after="" )
So in your loop:
if ( 'radio-shows' === get_post_type() )
{
the_terms( get_the_ID(), 'genre' );
the_terms( get_the_ID(), 'instruments' );
}
else
{
the_category();
the_tags();
}