Mindshare Labs, Inc.

Allows WordPress users to subscribe to email notifications for new posts, pages, and custom types, filterable by taxonomies. The plugin supports tons of actions and filters too! More documentation will be coming soon.
<h4>Features</h4>
We are now working on a major rewrite of this plugin which will allow us to more rapidly roll out new features. Stay tuned for version 0.2.
<ul>
<li>send mail as plain text or HTML (by user preference)</li>
<li>integrated email template editor</li>
<li>option to use PHP template instead of integrated template editor</li>
</ul>
<h4>Upcoming Features</h4>
<ul>
<li>option to separate different taxonomies on profile update</li>
<li>widget</li>
<li>option to post notifications for update as well as new posts</li>
<li>html/plain text options</li>
<li>scheduling options / digest mode</li>
<li>analytics options</li>
<li>minimum role option for notifications</li>
<li>double opt-in</li>
<li>SMS text messages</li>
<li>integration with 3rd-party SMTP servers and/or advanced SMTP settings</li>
<li>integration with MailChimp/Mandrill</li>
<li>integration with Constant Contact</li>
<li>integration with Aweber</li>
<li>notification on site (like Facebook)</li>
<li>subscriber management to settings</li>
<li>CSV subscriber export</li>
<li>list management for Roles, use-case wholesale / retail</li>
</ul>
Support development with a donation and let us know what features are most important to you!

Subscribr

Allows WordPress users to subscribe to notifications for new posts, pages, and custom types, filterable by taxonomies.

3D Virge

With this plugin you can switch the different WordPress notification e-mails on and off, like options as the new user and password change notifications send by WordPress to the administrator and user. Works perfectly in combination with a lot of other plugins!
Watch this nice tut made by Robert Orzanna: 
<iframe loading="lazy" class="youtube-player" width="750" height="422" src="https://www.youtube.com/embed/66UkQKgSFio?version=3&rel=1&showsearch=0&showinfo=1&iv_load_policy=1&fs=1&hl=en-US&autohide=2&wmode=transparent" allowfullscreen="true" style="border:0;" sandbox="allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox"></iframe>
The options you can manage are:
<ol>
<li>New user notification to admin</li>
<li>New user notification to user</li>
<li>Notify post author</li>
<li>Notify moderator</li>
<li>Password change notification to admin</li>
<li>Password change notification to user</li>
<li>E-mail address change notification to user</li>
<li>Forgotten password e-mail to user</li>
<li>Forgotten password e-mail to administrator</li>
<li>Automatic WordPress core update e-mail</li>
<li>Automatic WordPress plugin update e-mail</li>
<li>Automatic WordPress theme update e-mail</li>
<li>Send admin notifications to extra admin e-mail addresses (1.7.0)</li>
<li>Send an e-mail to administrators after a user requested to update his or her e-mail address (1.7.0)</li>
<li>Send an e-mail to administrators after a user successfully updated his or her e-mail address (1.7.0)</li>
<li>Multi-site support! Now you can manage your notification settings in one single environment (1.8.0)</li>
<li>Export and import settings (1.8.0)</li>
</ol>
The automatic core, plugin, and theme updates have a special built-in feature. When one of these options is disabled, successful e-mails don’t get send out, but failed updates still will send an e-mail to the admin.
This version contains some nice new stuff. If you find any issues, let me know. If you like the new features, please be so kind to give this plugin a good rating! It will help me to keep up the good work for you 🙂
Want regular updates? Feel free to support me with a small donation 🙂

Manage Notification E-mails

Enable and disable email notifications that WordPress sends to the admin and user. Works perfectly with many other plugins!

Subscribr vs Manage Notification E-mails