Is that magazine Vogue, by any chance? Your sample reminds me of a typeface called Vogue which Intertype designed for Vogue Magazine in the 1930's.
The New Yorker used a custom typeface called NY Vogue Goat (an extrabold Vogue) until a recent design overhaul. Even still, there isn't currently a readily available copy of Vogue for license.
VF Sans, a typeface for Vanity Fair by James Montalbano, is really similar and has only recently been available for individuals to license. Montalbano says that he wasn't aiming to make a Vogue revival but I consider the multiple resulting weights of type to be a happy accident.
Two weights of Am Sans by Volker Busse, another similar to Vogue, used to be available through a lot of freeware sites. I'm not sure about the licensing details so I can't confidently recommend it.
