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.

Tran Ngoc Tuan Anh

FitWP

User Visit Log is a WordPress plugin which tracks all user visits by day. The difference from this plugin and other available plugins is it tracks only logged-in users and count only visits, not page views. So you can see that a client A visits the website quite frequently and client B doesn’t. Then you can adjust your business plan or support strategy to do more support for client A than client B. There’re so many things you can think about when you have the report in hand.
The aim of User Visit Log is the knowledge of how many times users visit your website. Using User Visit Log plugin is a good way to analyze your users to understand what they need, how they use the website and how helpful the website is for them.
<h3>Features</h3>
<ul>
<li>No settings, install and forget</li>
<li>Report widget in Dashboard for overview statistics of visits</li>
<li>Report widget in Dashboard for table of visits per user today</li>
</ul>
<a href="http://www.deluxeblogtips.com/user-visit-log/" rel="nofollow ugc">Plugin Homepage</a> 
<a href="https://github.com/rilwis/user-visit-log/" rel="nofollow ugc">Github Repo</a>

User Visit Log

Track and analyze visits of logged-in users by day.

bodi0`s Bots visits counter vs User Visit Log