Nigel Budlender

A simple, light and easy-to-use plugin that adds jQuery pagination to the standard wordpress gallery with cool jquery effects.
Features:
<ul>
<li>Simple and easy to use</li>
<li>Edit the number of thumbnails per page</li>
<li>Change the number of paginated links to show</li>
<li>Allows you to use jquery animation effects when navigating through gallery pages. </li>
<li>Effects included: Blind, Bounce, Clip, Drop, Explode, Fade, Fold, Highlight, Puff, Pulsate, Scale, Shake, Size, Slide</li>
<li>Change the animation speed</li>
<li>Apply to just one or many galleries on your website</li>
</ul>
Once you are happy with your gallery animations, edit the CSS to get your desired visuals for the pagination links.
<ul>
<li>Now includes the jQuery UI project</li>
</ul>

Paginated Effects Gallery

A simple, light and easy-to-use plugin that adds jQuery pagination to the standard wordpress gallery with cool jquery effects.

Processby

Loading paged content with Ajax. Works with standard WordPress pagination, WooCommerce pagination, plugins. 
<a href="https://processby.com/blog/" rel="nofollow ugc">Plugin demo</a>
<h4>Features</h4>
<ul>
<li>Ajax pagination;</li>
<li>“Load more” button;</li>
<li>“Load more” button and pagination;</li>
<li>Infinite Scroll;</li>
<li>Customisable styles.</li>
</ul>

WP Ajax Load More Pagination and Infinite Scroll

It is a great plugin. So much easy to use. It is also light. It saved me from hours of works. 
Thanks to the author. 
I hope author will keep it up to date and won't add unnecessary codes in the future.

Paginated Effects Gallery vs WP Ajax Load More Pagination and Infinite Scroll