I've been working on this private search engine https://private.sh/ for a while. It encrypts your query using client-side javascript so only the Gigablast search engine can read your query. And your query is delivered to Gigablast through an anonymizing proxy that is not in Gigablast's control. So you get TOR-like privacy. Also Gigablast's privacy policy https://gigablast.com/privacy.html shows that your query is not transmitted to 3rd parties or used for anything other than to return your results. Gigablast also has 0 dependencies on Bing or Google.