Budiony Damyanov

Counts the visits from web spiders, crawlers and bots in your blog, with ability to get the blog rankings from Google or Alexa. 
Also can count any other visit, the plug-in is looking for patterns in user-agent string, which pattern can be customized. 
You can block or unblock crawler, spider (or any other item), by IP address and identifier via .htaccess file. 
As additional information you can get your blog rankings from Google PageRank or Alexa.

bodi0`s Bots visits counter

Counts the visits from web spiders, crawlers and bots in your blog, with ability to get the blog rankings.

artifex404

View your site visits statistics at a glance: browsers, operating systems, visitors and much more!
Highly customizable settings to fine-tune the tracking. One click install and you are ready to go!
This lightweight plugin is carefully integrated in WordPress, which makes it fast, secure and reliable.
<a href="https://wordpress.org/plugins/wp-power-stats/screenshots/" rel="ugc">View sample screenshots</a>
Claim back your privacy: no third party services, all statistics are private on your hosting and are accessible only by you.
Charting is provided by Google Chart library, which does not collect any information.
Statistics features:
<ul>
<li>Page views</li>
<li>Devices</li>
<li>Traffic sources</li>
<li>Browsers</li>
<li>Operating systems</li>
<li>Geographical location</li>
<li>Search terms</li>
<li>Viewed posts</li>
<li>Referrers</li>
</ul>
Languages:
<ul>
<li>English</li>
<li>French</li>
<li>Spanish</li>
<li>Finnish</li>
<li>Hungarian</li>
<li>Russian</li>
<li>German</li>
<li>Portuguese</li>
<li>Catalan</li>
</ul>

WP Power Stats

I like this plugin very much. Plugin is Simple and easy to understand. Most things that I use are "Visitors & Page Views" graph and "Traffic Source".

Useful stuff!

What a pitty: search engine keywords stay empty.
And I know that there must be a lot of them because I crosscheck it with Google Webmaster Tools.

No search engine keywords

Discover your visitors in real-time, intuitively and with style.

bodi0`s Bots visits counter vs WP Power Stats