Here is an excellent resource that explains, in detail, how to go about finding websites that allow dofollow backlinks:
https://enstinemuki.com/dofollow-bac...ogle-page-one/

You can make Do-follow backlinks by doing Blog commenting,Forums and many more SEO activities.

List of do-follow backling with high PR are:
http://issuu.com/
http://www.xing.com/
http://www.blogger.com/
Australian Breaking News Headlines & World News Online | SMH.com.au
Latest & Breaking News Melbourne, Victoria | The Age
movavletype.org
http://forum.meebo.com
http://forum.joomla.org
Chronicle Forums - Index
http://forums.myspace.com/
http://forum.siteground.com

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Say I have website that sell shoes. Is it rationale if I submit that site in the directory of science or education?

What matters alot? earning huge low quality backlinks or links from some credible site.

Google is now updating their algorithm to decrease the importance of links due to those spammers of links in which they think the site will rank.

Hello, I am also agree with you because i know its really too difficult to find do-follow back link but you can find with some various queries. I will send you various queries if you need.

Don't make only do-follow links try to make combination of do-follow and no-follow links for better SEO results

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Some of those links are not do follow. Example ted.com doesn't have do follow.

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Thanks for the list. And, should balance between both dofollow and nofollow link

Hi, Richardprasad Thanks for Sharing links.

There are many sites in which we employ SEO OFF Page techniques. Many Social Bookmarking sites, QnA Sites, Web2.0 sites & Forum sites will help you build do-follow links that could raise the rank of website & its awareness quickly. Do remember that Google can change its algorithms anytime. So, must be aware of it.