Max Chirkov

Simple log of user logins. Tracks user name, time of login, IP address and browser user agent.
<a href="http://screenr.com/kfEs" title="Demo Video" rel="nofollow ugc">Demo Video</a>
Features include:
<ol>
<li>ability to filter by user name, successful/failed logins, month and year;</li>
<li>export into CSV file;</li>
<li>log auto-truncation;</li>
<li>option to record failed login attempts.</li>
</ol>
Translations:
<ul>
<li>Persian [fa_IR] by <a href="http://taktaweb.ir/" rel="nofollow ugc">MohammadHadi Nasiri</a></li>
<li>German [de_DE] by Philipp Moore</li>
<li>Russian [ru_RU]</li>
<li>Ukrainian [ua_UA]</li>
<li>Chinese [zh_CN] by <a href="http://www.mihuwa.com/" rel="nofollow ugc">Mihuwa</a></li>
<li>
French [fr_FR] by <a href="http://www.lo-geek.fr/" rel="nofollow ugc">Mehdi Hamida</a>
</li>
<li>
Author: Max Chirkov
</li>
<li>Author URI: <a href="http://simplerealtytheme.com/" title="Real Estate Themes & Plugins for WordPress" rel="nofollow ugc">http://simplerealtytheme.com/</a></li>
<li>Copyright: Released under GNU GENERAL PUBLIC LICENSE</li>
</ul>
<h4>Filters</h4>
** Log Output Within the Table **
sll-output-data – filters table row array where array keys are column names and values is the output 
For example, we can use this filter to link IP addresses to a geo-location service:
<pre><code><?php
add_filter( 'sll-output-data', 'link_location_by_ip' );
function link_location_by_ip($item){

 //$item is a single row for columns with their values

 $item['ip'] = sprintf('<a target="_blank" href="http://infosniper.net/index.php?ip_address=%1$s&map_source=3&two_maps=1&overview_map=1&lang=1&map_type=1&zoom_level=11">%1$s</a>', $item['ip']);
 return $item;
}
?>
</code></pre>
<h4>Translation</h4>
If you would like to contribute, the POT file is available in the languages folder. Translation file name convention is sll-{locale}.mo, where {locale} is the locale of your language. Fore example, Russian file name would be sll-ru_RU.po.

Simple Login Log

Хороший плагин и полезный

Simple login log

This plugin keeps a log of WordPress user logins. Offers user and date filtering, and export features.

Ipstenu (Mika Epstein)

JohnnyWhite2007

Spam is one thing, but trolls and sock puppets are another. Sometimes people just decide they’re going to be jerks and create multiple accounts with which to harass your honest users. This plugin helps you fight back by logging the IP address used at the time of creation.
Log into your WP install as an Admin and you can look at their profile or the users table to see what it is. For security purposes a user’s own IP is not displayed to them when they look at their own profile.
<ul>
<li><a href="https://ko-fi.com/A236CEN/" rel="nofollow ugc">Donate</a></li>
</ul>
<h3>Privacy Notes</h3>
This plugin adds additional data to a new user’s <code>wp_usermeta</code> data under the <code>signup_ip</code> key. This data is directly tied to the user account, and is only editable via the database. Should a user account be deleted from the site, the data will be automatically deleted.
No external data is transmitted, it all stays on your install.

Register IPs

Does exactly waht it says

When a new user registers, their IP address is logged. Supports multisite and single site!

Simple Login Log vs Register IPs