Misha Rudrastyh

The category filter block allows you to filter posts displayed with the standard Query Loop block by category, without page refresh. The Interactivity API is fully supported.
<h4>Features</h4>
✅ The category filter can be displayed as links or as a select dropdown field. 
✅ You can display a post count number near each category. 
✅ Custom All Categories text 
✅ Works without page refresh (AJAX + Interactivity API)
<h4>Pro features</h4>
✅ Custom taxonomies are supported. 
✅ Sort categories (terms) in the filter alphabetically, by post count, or in a custom order. 
✅ The filter can be displayed as buttons with the possibility of style customization (color, background color, border, border radius, etc).
🚀 <a href="https://rudrastyh.com/plugins/taxonomy-filter-block" rel="nofollow ugc">Upgrade to Pro</a>

Category Filter Block

Just a simple category filter block with the Interactivity API support.

developingtheweb

Filter posts by their categories using the Quicksand jQuery filter plugin on any page. 
You can select the categories you want to use in the admin area, choose to show post thumbs or titles. 
Works will with other jQuery effects such as Overlays and Lightboxes (not included in this plugin).
Demo at http://www.developingtheweb.co.uk

Quicksand Post Filter jQuery Plugin

Filter posts by their categories using the Quicksand jQuery filter plugin on any page.

Category Filter Block vs Quicksand Post Filter jQuery Plugin