Andreas Sofantzis

In large WooCommerce sites you may end up with numerous product categories and it\’s hard to find what category you are looking for to assign to product. Now you can simply type any letters from the product category and the results instantly filter your selection.

Product categories search admin for woocommerce

This plugin will add a search field for product categories in new/edit product page in admin.

MasterNs

Bulk post editing allows you to apply actions on a number of selected WordPress posts instead of doing it manually on each post 
which could be time consuming particularly if you have a large amount of posts.
However, default bulk editor allows you just to add Categories to Posts. 
This plugin extends default Bulk Editor so you can remove Categories from posts.
The plugin works with default Post type, Woocommerce products and any other Custom Post Type. Supports multiple taxonomies per post.

Bulk remove posts from category

Simple and very good

Not working

Now you can use default WordPress Bulk Editor not just to add Categories but also to remove categories from posts.

Product categories search admin for woocommerce vs Bulk remove posts from category