Torsten Landsiedel

This plugin modifies the native wordpress search function to ignore block names in post and page content.
With this plugin activated the unexpected search results are fixed which are reported in <a href="https://github.com/WordPress/gutenberg/issues/3739" rel="nofollow ugc">#3739</a> and in <a href="https://core.trac.wordpress.org/ticket/56294" rel="nofollow ugc">#56294</a>
Works only for MySQL 8.0.4+ and MariaDB 10.0.5+

Ignore HTML and shortcodes in search

Modifies the native search to ignore HTML markup (block editor comments) and shortcodes

leocolomb

Algolia

Algolia is the smartest way to improve search on your site. 
The plugin provides relevant search results in milliseconds, ensuring that your users can find your best posts at the speed of thought. 
It also comes with native typo-tolerance and is language-agnostic, so that every WordPress user, no matter where they are, can benefit from it.
<h3>Contributors</h3>
<a href="https://colombaro.fr" rel="nofollow ugc">Léo Colombaro</a>

Algolia for WordPress

A (unofficial) WordPress plugin to use Algolia as a search engine.

Ignore HTML and shortcodes in search vs Algolia for WordPress