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
FiboSearch - Give your WooCommerce users a fast, convenient and relevant autocomplete search and save them the effort
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.
Advanced Woo Search - Advanced Woo Search - WordPress ajax search plugin for WooCommerce store. Search in product title, description, excerpt, sku, tags, categories, attributes, custom fields, custom taxonomies.
Ajax Search Lite - WordPress Live Search plugin - Ajax search lite. A responsive live search engine for WordPress, for free.
Relevanssi - Relevanssi replaces the standard WordPress search with a better search engine, with lots of features and configurable options.