Dear Mr. Daly,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the deck log of the USS Midway (CV-41) for December 1965. This deck log has been digitized and may be viewed online using the Catalog. When viewing the logs, you may wish to click on the red PDF icon under the “Documents” heading. This will allow you to view the entire month’s logs as a single file. Once you have done so, you may use the blue download button to download the PDF. Due to the size of the files involved, it may take a little while for them to load in full. Please be patient. If you have any problems accessing this file, please email Catalog@nara.gov.
See here for a listing of additional USS Midway logs that are currently available online through the Catalog. Please note that the Catalog does not always list logs in chronological order. Also, some of the logs are linked by year through our page Navy Deck Logs Available in the National Archives Catalog, though this list is not entirely current. If there are any additional logs you need that you are unable to locate on these listings, please feel free to post a follow-up question here on History Hub.
We hope this information is helpful. Best of luck with your research!