Peanuts

Looks like slightly earlier, radio killed it:

With the rise of radio, extras became largely obsolete in the early 1930s in areas with good radio coverage, replaced by breaking news bulletins.  However, extras have occasionally appeared into the 21st century. For example, several North American newspapers published an extra on the afternoon of September 11, 2001, to report the terrorist attacks, even if they had not issued extras for years prior.