A question that I’m often asked is “do search engines that don’t track your search history also anonymize your IP address?” DuckDuckGo is the first search tool that often springs to mind with respect to “do not track”. It does not store searches, web history or IP addresses when you use it to search. Also, it does not pass on the search terms you used to the sites that you visit. However, the sites that you visit will still be able to see your IP address. See https://duckduckgo.com/privacy for further details.
Ixquick (http://ixquick.com/) and StartPage (http://startpage.com/) are similar but have an additional feature that gives you the option to display a page from the results list using a proxy. Run the search as normal and you’ll see the usual set of results. Next to each result you should see a “proxy” link. Click on that and you go through a proxy server making you invisible to the website you are visiting.
Any links that you subsequently click on and which are on the same site also go through the proxy. As soon as you follow any links that take you off that site then you are warned that you that you will be “unproxied”.
The disadvantages of using the proxy option are that it can be slower, some functions on the page may not work, and I have come across some pages that do not display at all.