FolioVision

Feedburner was a great service. It’s a bit of a mystery why Google is shutting down Reader and why they dropped support for Feedburner and shut down its API. Both were popular services and offered Google valuable content intelligence. The shutdown is a real wakeup call to those of us who depend on external services.
Since Feedburner is no longer supported, we created this plugin to help you migrate your subscribers and to allow you to keep your feed on a URL controlled by you going forward. You will be immune to feed companies going out of business, shutting down services or hiking prices in the future. Take control of your own feed and your own subscribers!
Benefits:
<ul>
<li>Boost number of your newsletter subscribers by putting subscription form to your feed address</li>
<li>Keep your Feedburner RSS readers! When Feedburner subscribers come to your site, they will automatically be prompted to re-subscribe on your new feed address when they read the feed</li>
<li>Upgrade RSS readers to email recipients. Show a subscription form for your Feedburner subscribers when they come to your website.</li>
<li>Easy to set up and get started: built-in newsletter subscription form works out of the box</li>
<li>Default subscription form works with <a href="https://wordpress.org/extend/plugins/newsletter/" rel="ugc">Newsletter</a> plugin by Satollo and uses double opt-in (confirmation emails)</li>
<li>Optional CSV export for subscribers who sign up before you add your own mailing solution.</li>
</ul>
Never pay monthly fees no matter how many subscribers you have. Never risk losing your subscribers again.
<a href="http://foliovision.com/seo-tools/wordpress/plugins/fv-feedburner-replacement/" rel="nofollow ugc">More Information</a>
<a href="http://foliovision.com/support/fv-feedburner-replacement/" rel="nofollow ugc">Support</a> | <a href="http://foliovision.com/seo-tools/wordpress/plugins/fv-feedburner-replacement/changelog/" rel="nofollow ugc">Change Log</a> | <a href="http://foliovision.com/seo-tools/wordpress/plugins/fv-feedburner-replacement/installation/" rel="nofollow ugc">Installation</a>

FV Feedburner Replacement

Creates a landing page for your feed subscription and out of the box working newsletter subscription form.

Eric Marden

FlareSmith is a plugin to integrate the FeedBurner Stats and FeedFlare services into your WordPress site – all without having to edit any of your theme files!
It acts as a content filter, and adds the required javascript to your site after the output of your original content. It plays well with others (like other content filters), and works quite nicely with the FeedBurner FeedSmith plugin. In fact, I choose the name of my plugin as an homage to FeedSmith.
A FeedBurner account is required to use this plugin.
<h3>Arbitrary section</h3>
The FlareSmith plugin was developed by Eric Marden, and is provided with out warranty under the GPLv3 License. More info and other plugins at: http://xentek.net
Copyright 2008 Eric Marden (email : wp@xentek.net)
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

Flare Smith

FlareSmith is a plugin to integrate the FeedBurner Stats and FeedFlare services into your WordPress site - without editing your theme!

FV Feedburner Replacement vs Flare Smith