YITH WooCommerce Ajax Search - The powerful search engine is here to simplify your navigation: YITH WooCommerce Ajax Search will offer you immediately the name of the products you look for
Relevanssi - Relevanssi replaces the standard WordPress search with a better search engine, with lots of features and configurable options.
Site Search 360 - Site Search 360 enhances and improves your built-in CMS or product search with autocompletion, semantic search, filters, facets, detailed analytics, and a whole lot of customization options.
Ajax Search Lite - WordPress Live Search plugin - Ajax search lite. A responsive live search engine for WordPress, for free.
WebberZone Better Search - Better Search is a WordPress plugin that automatically replaces the default WordPress search with an enhanced contextual based search engine
WP Solr - WP Solr provides a search engine for WordPress and WooCommerce.