Rahul Ramesh

This plugin will add a recent comments widget for Disqus, to your WordPress site. The widget will not impact your site loading time, as all the queries made to the 
Disqus Servers. The main features of the widget include: 
 – control avatar size. 
 – use circular avatars. 
 – control comment excerpt length. 
 – hide avatars 
 – hide comments made by moderators. 
 – control the number of comments. 
 – the widget will adapt to the parent style of most themes.
View the plugin website (http://worldanimeclub.com/blog/2014/06/03/disqus-recent-comments-widget-advanced/)

Disqus Recent Comments Widget Advanced

This plugin will add a recent comments widget for Disqus, to your WordPress site. The widget will not impact your site loading time, as all the querie …

godthor

This will create a new widget which will display your most popular posts and pages based on comment count with Disqus. Alternatively, you can use a shortcode as well.
It’s very simple to use. Just drag the widget into a sidebar and configure it, or visit the settings under the WordPress Settings menu.
Just Some of the Options:
<ul>
<li>Show featured image.</li>
<li>Choose featured image size.</li>
<li>Choose featured image alignment.</li>
<li>Show the post date.</li>
<li>Select how many days to check, IE: past 90 days.</li>
<li>Set how many posts to show.</li>
<li>Save the results for faster loading.</li>
<li>Load results using Ajax. Perfect to avoid caching results.</li>
</ul>
Note: This plugin requires you have an application registered with Disqus: https://disqus.com/api/applications/ 
It’s free and simple to setup, just follow that link.

Disqus Popular Posts

Creates a widget to show the most popular posts and pages on your site based on Disqus comments. Can also be used with a shortcode.

Disqus Recent Comments Widget Advanced vs Disqus Popular Posts