Jack Fischer

There are numerous plugins for emailing or otherwise notifying administrators when users log into WordPress. However, this is not desirable for installations with hundreds or thousands of users. Admin Login Monitor provides more managable email alerts, just for administrator accounts.
Example alert email,
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Hello Alice,
The account ‘bob’ just logged into example.com
User Login ‘bob’ 
User Display Name ‘Bob’ 
User Email bob@example.com 
User ID ‘8’ 
User Registered 2019-08-25 19:33:18
Forwarded IP Address 96.224.58.71 (HTTP_X_FORWARDED_FOR) 
Connected IP Address 96.224.58.71 (possibly a CDN or proxy)
Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_7) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/15.5 Safari/605.1.15
This notification is generated by the WordPress Admin Login Monitor plugin installed on example.com 
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For convenience investigating IP addresses, email notifications link to Ipinfo.io (https://ipinfo.io/). 
Ipinfo.io Terms of Service: https://ipinfo.io/terms-of-service 
Ipinfo.io Privacy Policy: https://ipinfo.io/privacy-policy

Admin Login Monitor

Email site administrators about all administrator logins.

DigiP

This is a Security focused plug-in, which will send an email to the Administrator of the WordPress site each time login page is reached.
If someone attempts to login, it will also send the user name they tried logging in with, as well as their IP address, User-Agent, Timestamp, and the Referral URL.
If you see multiple attempts to login at times you are not logged on to the site, this means someone is attempting to brute force their way into your site, and you should ban the offending IP address from your site. Especially if they are trying multiple names, or sending them rapidly, one after another.
<h3>Thank you for using my plug-in!</h3>
We offer a variety of other products and security solutions for WordPress and web site security. We’re in the process of releasing our WordPress Attack Scanner, as well as a Firewall based version of the same scanner for paid subscribers.
For more info on these tools and products, please visit and bookmark Attack-Scanner.com, and if you like this Login Alerts Plug-in, please donate to this project.
I look forward to feedback from my users, as well as feature requests. All and any feedback welcome!

WP Login Alerts by DigiP

E-mails the site owner if anyone reaches or attempts to login to the site. Also shows the user names they attempt to login with.

Admin Login Monitor vs WP Login Alerts by DigiP