Nothing says venerable institution like your name and/or logo on a big-city skyscraper. And for a time, some magazines actually accomplished that. Many of the buildings still stand, though most have long since acquired new tenants and different names. A few in New York and Chicago:
New York
The Former Look Building, which also housed Esquire
The Look Building. New York HQ of the defunct picture weekly, as well as the onetime home of Esquire, 488 Madison Avenue, New York City. There's another former Look Building in Des Moines, Iowa, where the magazine's parent company was based.
The New York Magazine Building, and before that, the Newsweek Building, 444 Madison Avenue, New York City. New York Magazine has since moved downtown to Varick Street.
The Puck Building, which housed the long-dead humor magazine Puck and the more-recently dead one Spy, 295 Lafayette Street, New York City.
The Time & Life Building. One-time home of those two plus many other Time, Inc., titles over the years, 1271 Avenue of the Americas, New York City.
Chicago
Former Playboy Building, with beacon
The Johnson Publishing Building sports the logos of the company's Ebony and Jet magazines, 820 South Michigan Avenue, Chicago.
The Playboy Building, now the Palmolive Building, 919 North Michigan Avenue, Chicago. In Playboy's glory days, the building had a beacon on top that nightly swept the Chicago skies. I remember because it lit up my bedroom walls with each pass unless I closed the blinds.