Elvanto

This plugin adds an Elvanto login widget to your WordPress powered site. 
When installed, your users will be able to log directly into their Elvanto account from your site.

Elvanto Login Widget

Quickly and easily let your users login to Elvanto from your WordPress powered site.

otacke

This widget is plain and simple and allows you to handle logins and password retrieval without a separate login screen. Install, add widget, done. Well, maybe 
not quite. You may want to modify the stylesheet a little bit to match your theme’s needs…
YALW rebuilds quite a bunch of features offered by wp-login.php instead of using the features therein because it is hardly possible. I had the option to 
refactor the file wp-login.php, making its functionality better accessible from the outside, and thus contributing to the WordPress Core. I thought about that 
possibility for approximately 0.0897 seconds (which is a long time for an android) but decided against. I am merely a casual programmer and I don’t have the 
time or ambition to deal with the project management processes of the WordPress development community in order to promote my changes, hoping they might be 
integrated some day. I need to get shit done. And, more importantly, I don’t consider myself a good programmer. It’s probably not advisable for me to tinker 
with such a crucial part of WordPress.
Thanks to <a href="https://profiles.wordpress.org/plocha/" title="edik" rel="nofollow ugc">edik</a> for his support and to <a href="https://github.com/akoww" rel="nofollow ugc">akoww</a> for fixing bugs!
<h4>Details</h4>
<ul>
<li>Allows to configure the email message that is sent to reset a lost password.</li>
<li>Can use fail2ban to detect failed login attempts and act accordingly. A sample filter and a sample jail description are included.</li>
<li>Is localizable.</li>
</ul>

YALW

This widget is plain and simple and allows you to handle logins and password retrieval without a separate login screen. Install, add widget, done.

Elvanto Login Widget vs YALW