I believe we have what constitutes an entire issue, which is one broadsheet folded, making 4 pages. The Watchman, a Baptist publication, seems primarily concerned with goings on in the New England and national Baptist communities, and has many notices of ordinations and obituaries, as well as editorials, letters to the editor, and lessons on Christian doctrine.
This trumped our previous "oldest find", a New York Times from July 25, 1949 that Keighty and I found hiding under a set of built-in drawers in a different closet.
But the Times DEFINITELY wins for best ads. Here's a sampling: