For many in our MO community, reading The Weekender (NYT) is an integral part of their oneg shabbat.
I hold that today’s newspapers should not be considered shtarei hedyotot, nor should reading them be considered an issur of vedaber dabar (unless, let’s say, you were reading a trade publication). I read in the Harchavot Peninei Halakha of Rav Eliezer Melamed that since advertisements are no longer the main means of identifying business or trade opportunities, one is allowed to look at ads as long as they don’t intend to make a purchase based on them, and as long as reading or looking at them gives the individual a sense of enjoyment.
I happen to enjoy reading The Weekender, and I don’t look at the stocks until after shabbat is over.