keksus

This plugin allows you send messages to email from a page, post or from any other location that you specify in template. It can be used as a shortcode or a widget. 
Has a admin settings page where you can change the names of fields, enable or disable captcha, add custom CSS code.
<h3>Live Demo</h3>
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<li><a href="http://keksus.com/ae.html" rel="nofollow ugc">http://keksus.com/ae.html</a></li>
</ul>

Ajax Message

Roy Orbitson

By default, Contact Form 7 has a limit of two distinct mail messages per form, though each can have multiple recipients. This plugin allows you to add as many as you need. It’s relatively simple, so does not include the automatic configuration error detection that the default mails have.
If you only wish to send the same message to multiple recipients, you won’t need this plugin; instead use the To field, or add Cc/Bcc headers in the Additional Headers field as per <a href="https://contactform7.com/adding-cc-bcc-and-other-mail-headers/" rel="nofollow ugc">Contact Form 7’s documentation</a>.
Tested up to v6.1.2 of Contact Form 7.

More Mails for CF7

Extends the ubiquitous Contact Form 7 plugin to allow three or more messages.

Ajax Message vs More Mails for CF7