Google has posted the date of December 13, 2018 as the date they will be removing some of the old Google Search Console reports. The reports are already replaced by similar reports in the new Google Search Console.
Here is what the message looks like:

There is also a message at the top in read with the date that reads:

Important: This report will soon be replaced by the new Performance Report . Please update your links to point to the new report.
Expected shut down date: Dec 13, 2018

The reports going away in the old Search Console include:
Search Analytics
Links to Your Site
Internal Links
Manual Actions
Mobile Usability
Index Status
The Sitemaps report and the crawl errors report currently do not have a date of when they are being shut down.
Forum discussion at Twitter.

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