AivarasFX

Plugin creates widget that displays simple horizontal login. 
If theme has registered sidebar on top, widget may be used to display Horizontal login for top of the page for webpage users.
Input boxes are aligned in horizontal way, not verticaly. For blog users there is no need to open wordpress login page to login.
If blog has WP-fb-autoconnect plugin installed, widget also displays Facebook connect button and allows users to connect using facebook credentials.

FX simple LoginLogout

Plugin displays simple horizontal login for top of the page. If WP-fb-autoconnect plugin installed users may connect using facebook credentials

Julio Potier

Grégory Viguier

SecuPress

superment

<h4>Move Your Login Page</h4>
Tired of bots finding your WordPress login page? SP Move Login allows you to change your login URL to protect it from automated attacks and brute force attempts.
This plugin contains the Move Login module from <a href="https://secupress.me/" rel="nofollow ugc">SecuPress</a>, a comprehensive WordPress security plugin. While this plugin focuses solely on moving your login page, the full SecuPress version includes many other security features such as:
Why move your login page?
By default, WordPress login pages are located at <code>/wp-login.php</code> and <code>/wp-admin/</code>, making them easy targets for bots and attackers. SP Move Login allows you to:
<ul>
<li>Change your login URL to a custom slug</li>
<li>Protect your registration page (if enabled)</li>
<li>Block access to the default login pages</li>
<li>Display custom error messages or redirect to a custom page when someone tries to access the old login URL</li>
</ul>
Features:
<ul>
<li>Simple and easy to use</li>
<li>Change your login URL with just a few clicks</li>
<li>Works with pretty permalinks</li>
<li>Compatible with multisite installations (includes Single Sign-On support)</li>
<li>Custom error messages for blocked access</li>
<li>Redirect to custom page option</li>
<li>Lightweight – focused solely on moving your login page</li>
</ul>
Note: This plugin requires pretty permalinks to be enabled. You can activate them in Settings > Permalinks.
For more advanced security features, check out the <a href="https://secupress.me/" rel="nofollow ugc">full SecuPress version</a>.

SP Move Login

Don't know why I didn't find "Move Login" first. I already tested 2 alternative free plugins and it was deficient in different ways.  "Move Login" is powerful, light and easy to set up. Very nice find. Thanks.

The best of the 3 ones I tested

Move your WordPress login page to protect it from bots. This plugin contains the Move Login module from SecuPress. Other security modules are availabl …

FX simple LoginLogout vs SP Move Login