Display Custom Taxonomy

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();
}

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