This extension for MijoSearch component provides advanced searching with custom fields for RSEvents!Pro component.
Miwisoft
With this handy YOOtheme PRO plugin, you can choose the fields you need for your search, set the order in which they should be displayed, and mix it up with beautiful styles. It’s easy to use, fast to build, and has zero coding required!
OS PDF Indexer is a Joomla extension to allow indexing and searching base on content of pdf documents of your Joomla site.
EB Ajax Search1.40 
EB Ajax Search is an AJAX powered LIVE search (Hikashop, Virtuemart, SP Page Builder, and K2 Compatible) module that will boost user experience by providing a user-friendly ajax powered search form. It works like an Auto-suggest Google search. It's very flexible as every element is fully configurable.
2021-10-17
EB Ajax Search is an AJAX powered LIVE search (Hikashop, Virtuemart, SP Page Builder, and K2 Compatible) module that will boost user experience by providing a user-friendly ajax powered search form. It works like an Auto-suggest Google search. It's very flexible as every element is fully configurable.
Minitek Smart Search 3.0.2 
Minitek Smart Search is the most advanced search engine for Joomla!
AceSearch is a flexible and powerful Joomla Search component with an easy-to-use user interface that provides searching through all components from front-end and back-end with extra fields.
AceSearch will turn your site into a robust Search Engine by providing relevant search functionality for all your components from one page. Supports Joomla search plugins, offers tons of extra searching fields via extensions and can be easily updated
This is Simple Module that allows you to display a search box inside page at any module position. With this search box users can search for words or any particlular text in that page instantly without page loading. The search box also has control to navigate next and previous search results. The search results can be highlighted with styles.
A great replacement for standard Smart Search - Content plugin. Allows you to fully customize indexing process: exclude or include categories and articles, expand or limit indexing by archived or featured articles, customize taxonomies (search filters) and much more.
HIGH PERFORMANCE SEARCH FOR JOOMLA!
Geek Elasticsearch component is a powerful tool that can be used to improve your Joomla site's search Engine performance. A highly scalable open-source full-text search and analytics engine - Elasticsearch is used to develop the search engine tool. Hence, it is possible to store, search, and analyze big volumes of data quickly and in near real time.
Having issues with finding articles, products or text in other components? Consider using MijoSearch with AJAX Search and Relevant Search results. MijoSearch comes with great features such as: Search statistics, adding extra fields and supports Joomla search plugins. It will not slow down your site because it doesn't index/store the searching records but statistics, search results are grabbed instantly on-the-fly.
Filter and Search module for Joomla Articles content. You will be able to search your content from any page and use specific fields for make search more accurate. Multi templates module with ability to show it as table style filter or sidebar style single column search module.
Search Content Advanced 3.1.4 
This plugin adds many features to the default search engine. Includes: the ability to include or exclude some collections in the search results, the ability to filter searches by author, specials, titles, archived, and more. A small photo view alongside searches and, most importantly, an advanced search algorithm can be named.
2018-09-21
Minitek Live Search is the most powerful and robust AJAX Search system for Joomla!
JA Megafilter 2.0.2 
Joomla search and filter extension - JA Megafilter is a powerful and flexible search and filtering system for your Joomla site. Supports multiple filter setup for your Joomla site. The Filter Joomla extension supports HikaShop, K2 component, E-Shop, Virtuemart, JoomShopping. J2Store support is coming soon along with few more