These are the most frequently asked for newspapers.
New York Times Digital Edition (information on the Academic Site License, so you can read the New York Times for free on an electronic mobile device) http://libguides.princeton.edu/NYT
Wall Street Journal Digital Edition, so you can read the Wall Street Journal for free on a mobile device https://libguides.princeton.edu/WSJ
Washington Post https://library.princeton.edu/resource/40418
Financial Times (register for free access) https://www.ft.com/products
Pressreader (Digital newpapers from many countries; most recent three months)
Newsbank (includes NJ newspapers) https://library.princeton.edu/resource/3975