Not sure WB is the best for contemporary music - country or 70s pastiche perhaps!
But new music doesn't exist on TV as far as I can tell - occasional very mainstream stuff at the end of One Show or Graham Norton perhaps but nothing at all interesting. Even if it's only Top of the Pops it's better than nowt; I remember watching with bated breath when I was a kid just in case something I liked came on - the joy of seeing the Ruts, or Siouxsie, or the UK Subs was indescribable!
And during the 80s there was all sorts; Rock Goes to College, the Tube, those BBC2 shows at tea time with Magenta Devine looking down her nose at those less cool than her. Now there's just YouTube - which has the disadvantage of keeping obscure stuff obscure!