Newspapers:

Remember: 

• When searching for obituaries and death notices remember that they may appear in different newspapers, on different pages or on different days.
• When searching for women, use their husband's name--Mrs. John Dow.  Initials were frequently used--Mrs. J. D. Smith.
• Your ancestor's name may appear in newspapers a long ways from where they actually lived...someone visiting a relative in a small town was usually reported in the local newspaper.
• Newspapers are scanned with dirty OCR (no human involved).  Be VERY open minded about the search results you get.

UNITED STATES:

• James Tanner; Genealogy Star Blog:  http://genealogysstar.blogspot.com/2014/07/online-digital-newspaper-collections-by.html
• ($) Ancestry-- http://www.ancestry.com/  Search for newspapers using the card catalog and then search the newspaper.
• California Digital Newspaper Collection-- http://cdnc.ucr.edu/cdnc
• Cedar Rapids (Iowa) Public Library-- http://crpubliclibrary.newspaperarchive.com/
• Chronicling America--  http://chroniclingamerica.loc.gov/newspapers/

          From the Library of Congress--Will be a great site as they add more newspapers

• Colorado Springs, Colorado: Pikes Peak Library District/ Pikes Peak Newsfinder; Special Collection--
  •  http://more.ppld.org:8080/SpecialCollections/index/article_search.asp?tSearch1=&tSearch
• ($) Genealogy Bank--  http://www.genealogybank.com/gbnk/
• ($) Sister company to Genealogy Bank-- http://www.obitsarchive.com/  Free searches of obituaries since 1980; must pay to view the actual obituary.
• Georgia Historic Newspapers--  http://snipurl.com/2dwjn
• Google News-- http://news.google.com/newspapers  Google is not adding to this collection right now.  If more people start using it, they may pick up the project again.
• Historical Newspapers and Indexes On The Internet - USA--http://www.researchguides.net/newspapers.htm
• ​Missouri Digital Newspapers-- http://www.sos.mo.gov/mdh/browse.asp?id=12.6
• ($) Newspaper Archive--  http://newspaperarchive.com/  Available at LDS FamilySearch Centers; Newspaper Archive is also part of a MyHeritage.com subscription.
• Newspaper Map-- http://newspapermap.com/  Use for more current newspaper articles; Lists digital newspapers worldwide.
• ($) Newspapers.com--http://www.newspapers.com/  Best searched with a "subject site:newspapers.com" search
• Old Fulton New York-- http://www.fultonhistory.com/fulton.html
• Online Historical Newspapers-- https://sites.google.com/site/onlinenewspapersite/
• Penn Libraries-- http://gethelp.library.upenn.edu/guides/hist/onlinenewspapers.html  List of historical newspapers that are available online.
• Refdesk-- http://refdesk.com/paper.html  Lists of current newspapers
• Regional Newspapers and Magazines and Newsmagazines-- http://home.earthlink.net/~ellengarvey/rsapresource1.html#regional
• The Research Society for American Periodicals-- http://www.periodicalresearch.org/?page_id=26
• U.S. Newspaper Program-- http://www.neh.gov/us-newspaper-program
• Utah Digital Newspapers--  http://digitalnewspapers.org/
• Wikipedia-- http://www.wikipedia.org/  Use the search terms:  "List of online newspaper archives" 
• Wikipedia direct link--  http://en.wikipedia.org/wiki/List_of_online_newspaper_archives  I've had trouble with this link changing...note the search terms above.

Periodicals Outside the Continental U.S.-- http://home.earthlink.net/~ellengarvey/rsapresource1.html#outside_US

• ($) British Newspaper Archive-- http://www.britishnewspaperarchive.co.uk/
• Welsh Newspaper Online-- http://welshnewspapers.llgc.org.uk/en/home
• ($) Find My Past UK has a newspaper collection: http://www.findmypast.co.uk/
• The 19th Century British Library Newspapers digital archive--  access is only available through qualified institutions; available at LDS FamilySearch Centers