ProQuest National Newspapers doesn’t include images, but ProQuest Historical Newspapers does (1857-1922 is here, and 1923-2007 is here).
How did I know all of that? I’m a librarian! But even if I didn’t have super powers, I could have just typed New York Times into the “Journals A-Z” tab on the library home page. For a few more tips about the library page, watch Go/lib (now what?) or consult our Quick-Start Guide to Library Research [pdf].