Triweb Digital

This plugin injects a small search box at the top of taxonomy metaboxes (the checkbox lists) on the post edit screen. It only appears for taxonomies that have more than 5 terms to avoid clutter.
Search queries are performed via AJAX and the checklist is filtered client-side for a quick, responsive experience.

Taxonomy Admin Search

Adds an AJAX-powered search box to taxonomy metaboxes on the post edit screen when a taxonomy has more than 5 terms.

Alexey Golubnichenko

A plugin for WordPress that let you filter posts by taxonomies with AJAX
See the <a href="https://wordpress.org/plugins/agp-ajax-taxonomy-filter/screenshots/" rel="ugc">screenshots</a> and <a href="https://wordpress.org/plugins/agp-ajax-taxonomy-filter/faq/" rel="ugc">FAQ</a> tabs for more details.

AGP Ajax Taxonomy Filter

Plugin working fine, but need little more perfection , like ajax multi-select categories there will be option for choices (Checkboxes,Select Dropdown) for showing filter.now there is simple listing.



Taxonomy Admin Search vs AGP Ajax Taxonomy Filter