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.
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<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!

alxinthome

Receiving ip addresses , browser identifiers, error passwords (disable by default) of visitors on the login page and if use “shortcode” at any page of the site. Also work with guest users
Allows you to save data about visitors to the database for further viewing, and obtaining statistics. 
In the settings you can specify where you want to receive this data. It is also possible to insert a shortcode on the page or record:
[ip_statistics]
When viewed on your login page or on other page (where you insert shortcode), the Data (ip adress and user agent) will be save in database. By default, only login error is logging
The plugin provides its own admin options page in the WordPress admin. Here you can define options where you whant to use this plugin and see statistics of clients. The plugin’s admin page also provides some tips.

alx ip statistic

Receiving ip addresses and browser identifiers of visitors on the login page and on any page of the site.

Register IPs vs alx ip statistic