I buy only my local newspaper, but it is not a great loss to miss the occasional edition.
I probably find more value in the Radio Times, although it is not a News magazine.
Despite its title it covers far more television than radio; but I think it is the only listings magazine that gives somewhere-near real coverage with some previews of the forthcoming week's wireless programmes.
Newspapers generally only give radio programme times and titles (which if only presenters' names say nothing about the contents). They tend to be thin even for TV, highlighting mainly only drama and floss like game-shows. Some newspapers even ignore the radio totally, as if it does not exist.