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.

zamartz

Rebuilt from the ground up, the eCommerce Discus Comments and Ratings is packed with even more features.
The plugin adds administrative functionality to the eCommerce settings allowing you to target where the comment thread and comment counts can be displayed.
This allows you to show how customers are conversing over your products. It is great for digital downloads and a community forum for self-service support and suggested enhancements.
This adds additional functionality and support to the legacy plugin eCommerce Disqus. Users of the legacy plugin that have a paid version of this extension will have a one click option to import their previous rules
Place the Disqus Comment Thread on Product page:
<ul>
<li>Free = Corrects Native Disqus plugin from loading in a way that causes errors across PLP & PDP</li>
<li>ree = Add a new tab to PDP for Disqus Comment Thread to show</li>
<li>Paid = Replace Comments tab with Disqus Comment Thread</li>
<li>Paid = Add Disqus Comment Thread under the product tabs</li>
<li>Paid = Add Disqus Comment Thread under product summary</li>
<li>Paid = Custom Target where to insert Disqus Comment Thread on page</li>
<li>Paid = Import legacy plugin settings for easy activation</li>
</ul>
Show Comment count on PLP and PDP:
<ul>
<li>Paid = Add Discus Comment Count on the PLP with default placements</li>
<li>Paid = Custom target  Discus Comment Count on the PLP</li>
<li>Paid = Add Discus Comment Count on the PDP with default placements</li>
<li>Paid = Custom target  Discus Comment Count on the PDP</li>
</ul>
Adds Network Support:
<ul>
<li>Paid = Manage all of your sites main activation of core features from the network admin</li>
<li>Paid = Quick links from the network admin to each sites detail setting pages</li>
</ul>
Multiple Ways to Identify your post IDs:
<ul>
<li>WordPress Post ID (default – free)</li>
<li>Product Parent SKU (paid)</li>
<li>Variant SKU (paid)</li>
<li>Product WordPress Slug (paid)</li>
</ul>
This allows you to target how comments are rolled up and displayed from Disqus.
<h3>Activation</h3>
<ol>
<li>Install and Activate Plugin through the ‘Plugins’ menu in WordPress</li>
<li>Goto Settings in YourSiteDomain/wp-admin/admin.php?page=wc-settings&tab=products&section=disqus_comments_and_ratings</li>
<li>Free – Use Select Option and Save</li>
<li>Advanced – Add API Cridentials and Save</li>
<li>Advanced – Activate API</li>
<li>Advanced – Choose Setting for Both Reviews and Comments and Save</li>
</ol>
<h3>Buy Updgrade</h3>
Purchase the Advanced option to allow both Commenting and Reviews on the Same Product = <a href="https://zamartz.com/product/woocommerce-disqus-comments-and-ratings" rel="nofollow ugc">WooCommerce Disqus Comments and Ratings</a>

eCommerce Comments and Ratings

eCommerce Disqus Comments and Ratings gives you better control over palcement

Disqus Popular Posts vs eCommerce Comments and Ratings