Geoffrey

<p><strong>Since WordPress 4.5, that feature is included in the Core. You don’t need this plugin anymore. Thank you all for support.</strong></p>
<p>Adds the possibility for users to log in with its email address OR its username.<br />
Uses native WordPress functions.<br />
Lightweight plugin, no options, just activate it and it works!</p>
<p><strong>Please, use the support forum to tell me bugs encountered, before rating the plugin. Be patient, it’s free, remember it 😉</strong></p>
<p>Languages available:</p>
<ul>
<li>Deutsch</li>
<li>English</li>
<li>French</li>
<li>Spanish</li>
<li>Russian</li>
</ul>
<h3>Other plugins</h3>
<p>Find my plugins at <a href="https://profiles.wordpress.org/creativejuiz/" rel="nofollow ugc">https://profiles.wordpress.org/creativejuiz/</a></p>


Juiz User Log-in by email

Allows users log in with its email address OR its username

Alimir

<p>Blue Login Style is a tiny WordPress plugin that allows you to customize your login page with beautiful themes. Its features: ability to add message, change the login logo, ability to set login, logout and register redirect links and many more…<br />
Screenshots are available in <a href="http://preview.alimir.ir/wordpress-blue-login-style/" rel="nofollow ugc">Here</a></p>
<h4>Features</h4>
<ul>
<li>Ability to choose nice themes with great options.</li>
<li>Ability to add message in your login page.</li>
<li>Add a custom logo of your wordPress blog as piece of cake.</li>
<li>Add custom background image.</li>
<li>Ability to set <code>login</code>, <code>logout</code> and <code>register</code> redirect links.</li>
<li>Simple configuration panel.</li>
<li>And so on…</li>
</ul>
<h4>Plugin Author</h4>
<p>Website: <a href="http://about.alimir.ir" rel="nofollow ugc">Ali Mirzaei</a><br />
Follow on <a href="https://www.facebook.com/alimir.ir" rel="nofollow ugc">Facebook</a><br />
You can catch catch me on twitter as @alimirir</p>


Blue Login Style

I've been using Theme My Login for years, but it is no longer being supported or updated, and it is broken for WP 4.3 (password resets fail).
This is a nice, simple to use alternative. Has some nice default themes. Upload a custom image (recommend 320px wide), pick a theme, and you're all set. Add some custom text to the lead-in box if you want.
If you want to spend the effort, you can completely customize with your own CSS.



Nice, simple

Blue Login Style is a tiny plugin which allows to customize your wp-login theme easily with a click.

Juiz User Log-in by email vs Blue Login Style