Site Search and Web Search
Privacy, security? DuckDuckGo and Startpage do NOT use ID-Cookies and do NOT store your IP address and search-terms! Google and other Search Engines DO store anything!
Try the Site Search from DuckDuckGo on my domain!
Get the DuckDuckGo Searchbox for your own site!
Safe and ads-free Search Engines especially for Kids: Kid's Search and KidRex.
Search for books across the world: International Children's Digital Library.
Use the Firefox Add-ons NoScript, uBlock Origin and an Add-on to control Cookies!
Get Search Plug-ins for DuckDuckGo, Ixquick and more for Firefox, IE and other browsers.
Try Anonymouse.org or the Tor Project to surf anonymously.
Meta Search (searching multiple Engines simultaneously): Startpage and dogpile.
Curlie is the independent project former well known as DMOZ Directory and the Curlie community continues the work and keeping up the web directory.
For advanced users:
A free (personal use) and good script for your own Webspace!
Find a hosted search script or install one on your own Webspace.