shprung

Less than 40 lines of php code so it will not slow your site and if all you 
need is to add an rss feed, give it a try.
You can even setup the output template – something many other plugin don’t 
offer.
<h3>A brief Markdown Example</h3>
<pre><code>short code examples:

[rss url="http://www.usacycling.org/rss/headlines.rss"]


[rss url="http://www.usacycling.org/rss/headlines.rss" no="20" target="_self"]

You can change the template used via wp-admin/options.php , look for
'rss_shortcode_template'
Template fields documentation:
 _TITLE_ : the rss feed title line
 _LINK_ : the link to the complete store, aka permalink
 _MSG_ : the short message/description; the first few 
 lines of the post/story
 _DATE_ : post date & time
 _TARGET_ : the link target
</code></pre>

RSS shortcode w/template

lets you embed rss feed in any WordPress content (e.g., pages, posts, custom post types) using Shortcode.

followit

s-feeds

Try it out on your free dummy site: Click here => <a href="https://tastewp.com/plugins/feedburner-alternative-and-rss-redirect" rel="nofollow ugc">https://tastewp.com/plugins/feedburner-alternative-and-rss-redirect</a>. 
(this trick works for all plugins in the WP repo – just replace “wordpress” with “tastewp” in the URL)
This plugin allows you to easily switch from Feedburner to the FREE (on the <a href="https://follow.it/features-and-pricing" rel="nofollow ugc">basic plan</a>) and better Feedburner alternative follow.it.
Read more why follow.it is the <a href="https://follow.it/?page=3" rel="nofollow ugc">better Feedburner alternative</a>.
The plugin is very easy to use:
<ul>
<li>Step 1: Download, install & activate it</li>
<li>Step 2: Click on “Apply redirect” for all feeds you want to redirect (most likely your main feed, as well as some comments & author feeds you may have)</li>
<li>Step 3: Connect it to a follow.it account to get access to your subscribers, see statistics etc. (see screenshots)</li>
</ul>
Once the redirect is active, your RSS-url will redirect to your new feed page where users can subscribe to your feed.
If you had former Feedburner subscribers, follow the steps as prompted in the plugin to move them over to your new feed (RSS as well as Email subscribers).
If something is not working in the Feedburner alternative plugin, please post a question in the support forum. Thank you!

RSS Redirect & Feedburner Alternative

Free Feedburner Alternative and RSS Redirect plugin from follow.it.

RSS shortcode w/template vs RSS Redirect & Feedburner Alternative