Buzzcore Solutions

This plugin tracks plugin activations, deactivations, and updates, displays status icons with tooltips in admin pages, and provides a full log page with filtering by plugin, status, and date.
Key features:
<ul>
<li>Status icons in the Plugins page with tooltips showing recent activity.</li>
<li>Full activity log page with filters for date, plugin, and action.</li>
<li>Option to clear logs.</li>
<li>Pagination with customizable results per page.</li>
</ul>

BuzzCore Activity Logger

Logs plugin activities, shows status icons in admin pages, and provides a full activity log page with filtering.

WP-Logger

This plugin makes it easy to keep a log of activity on your WordPress site. 
You can also decide how detailed you want the log to be, whether this is including any minor event or focus on the more substantial updates. 
You can get started with the free version. 
You can also skip straight to using the premium edition if you need features like email notifications, WordPress reports, and activity log integration tools.
For every event that the plugin records it also reports the:
<ul>
<li>Date & time (and milliseconds) of when it happened,</li>
<li>User & role of the user who did the change,</li>
<li>Source IP address from where the change happened,</li>
<li>The object on which the change has taken place.</li>
</ul>

WP Logger

WPLogger is a real-time user activity and monitoring log plugin. It helps WordPress webmasters keep an eye on what is happening on their websites.

BuzzCore Activity Logger vs WP Logger