Are you looking for a daily newspaper on tourism? If so, according to the OPAC database (introduced in a comment above), National Diet Library has 35-milimeter microfilms of this newspaper. Many issues are missing, but it’s worth trying I think if you have information enough to identify the article: the page number, the headline, the main topic, a proper noun used to mention a related place or person….
If the article is fortunately available, you can make a request for a monochrome enlarged copy of it. The fee for such a copy on an A3 sized paper sheet is 60 yen, not including consumption tax (3 yen), which is required if you do the process within Japan.
Where do you hope to get a copy? You can make the request from a distant place directly to Kansai-kan of NDL in Kyoto Prefecture (not Tokyo Main Library) using the designated request form. If you have a good access to a municipal, prefectural or university library in Japan, they may be a chance, as kasasagi says, to make the request via the interlibrary network. http://ndl.go.jp/en/service/copy.html
As to the issue you are looking for, the copyright seems to have not yet expired: you cannot get duplicated over the half of the whole content. http://opac.ndl.go.jp/index_e.html
#1. Click [Search for General Materials (Basic)].
#2. Check “Periodicals (Jpn.)” and input Call No. YB-1485.
#3. Click [Search].
#4. You get only one result. Click the result for details.
#5. You can get bibliographic information about the set of microfilms.
(This newspaper had at least four names in total, and the issue of 1966 must have been under the third title on the list: 日刊観光 .)