Md Jahidul Islam

This plugin let you enable or disable automatic updates features in WordPress 3.7+ which is enabled by default. You are able to control automatic core, plugin, themes, translation updates and vcs check. You can set permisson to send you email after any type of core updates. 
Since 3.7, a typical WordPress install will now be able to automatically update itself when there is a new minor/security release available without any user input. For example, it will automatically update itself from WordPress 3.7 to 3.7.1. Auto updates are not enabled by default for major releases like 3.7.1 to 3.8. For various reasons, site owners may wish to disable this functionality. This plugin provides an easy way to do so.
IMPORTANT
<ul>
<li>Automatic updates are NOT disabled by default. You have disable from plugin options page.</li>
<li>Automatic plugin and theme updates are NOT enabled by default ,you can enable these.</li>
</ul>
DISABLE AUTOMATIC UPDATES OPTIONS
Enable or Disable features
<ul>
<li>Automatic Updates ( for all types of updates )</li>
<li>Automatic Core Updates</li>
<li>Core development updates, known as the “bleeding edge”</li>
<li>Minor core updates, such as maintenance and security releases</li>
<li>Major core release updates</li>
<li>Automatic Plugin Updates</li>
<li>Automatic Theme Updates</li>
<li>Automatic Translation Updates</li>
<li>VCS Check ( For Developers: To enable automatic updates even if a VCS folder (.git, .hg, .svn etc) was found in the WordPress directory or any of its parent directories )</li>
</ul>
Enable/Disable sending emails for :
<ul>
<li>Successful Updates</li>
<li>Failed Updates</li>
<li>Critically Failed Updates</li>
<li>Update Debug</li>
</ul>

Disable Automatic Updates – Enable/Disable core, plugins, themes, translation updates

Control automatic updates feature. Enable or disable all types of automatic updates including core, plugins, themes, translation etc.

Alex Moss

Peadig

Disables the default notification email sent by WordPress for an automatic core update. Simply activate the plugin to disable the notification email 🙂
<ul>
<li><a href="http://peadig.com/wordpress-plugins/disable-wordpress-core-update-email/" rel="nofollow ugc">Disable WordPress Core Update Email</a> Plugin homepage.</li>
<li>More <a href="http://peadig.com/wordpress-plugins/" rel="nofollow ugc">WordPress Plugins</a>.</li>
<li>Peadig: A <a href="http://peadig.com/" rel="nofollow ugc">WordPress Bootstrap</a> theme framework.</li>
</ul>

Disable WordPress Core Update Email

The simplicity of the plugin helps it be lightweight & easy to use.

That also means the one line of active PHP code that it consists of (it then being what WordPress recommends in its current documentation per https://wordpress.org/support/article/configuring-automatic-background-updates/#disable-emails-via-filter) is likely to continue to work exactly as expected unless WordPress were to completely overhaul its setup regarding this (with there appearing to be no plans for this.) Especially considering it's using a filter so it's even more flexible if things were to change in the future (won't outright break things due to a code error beyond WordPress doing a fundamental change to a core function like add_filter or __return_false & that'd then break the majority of plugins & themes out there [they'd need a good reason for doing so & it appears they obviously have no plans for doing that either.])

Does exactly what it says it does (even 5 years since last update)

Disables the default notification email sent by WordPress for an automatic core update. Simply activate the plugin to disable the notification email : …

Disable Automatic Updates – Enable/Disable core, plugins, themes, translation updates vs Disable WordPress Core Update Email