Alessandro Raffa

In some cases you want your wordpress users to login with their email address instead of the username. To do this, you can use a good plugin like ‘WP Email Login’ or you can activate a ‘Register Plus Redux’ plugin’s option, but when the users will ask for lost password, the old / original username will be emailed to them, and this can cause confusion. To avoid this situation, just install and activate Login Email Sync, and it will sync the username ( user_login database field ) with the email ( user_email database field ) every time a user updates her/his profile.
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Login Email Sync

In some cases you want your wordpress users to login with their email address instead of the username. To do this, you can use a good plugin like &#03 …

Brian Henry

A new “Email Magic Link” button is added to the standard WordPress and WooCommerce login screens. If there is a user 
account for the username filled out, they will receive an email with a link to log them in without a password.
All emails sent from WordPress will contain login codes in links pointing back to the website:
<ul>
<li>Comment reply emails</li>
<li>Abandoned cart emails</li>
<li>Membership reminder emails</li>
<li>etc.</li>
</ul>
No configuration is required, by default:
<ul>
<li>Autologin URLs work for one week</li>
<li>Emails to administrators are excluded</li>
<li>Emails on exclusion shortlist are not modified</li>
</ul>
An API is available for developers to use autologin codes elsewhere in WordPress, e.g. push notifications, and to conditionally disable the plugin’s use. Code is published on GitHub, uses WordPress Plugin Boilerplate, conforms (mostly) to WordPress Coding Standards, and is unit & integration tested.

Magic Emails & Autologin URLs

Adds magic email link to login screen. Adds single-use passwords to WordPress emails' URLs for frictionless login.

Login Email Sync vs Magic Emails & Autologin URLs