Ko Min

A plugin to site owner to add voting functionality to the blog posts. 
Using the power of the ajax, voter can have instant voting and update to top voted widget. 
It doesn’t matter voter is logged in or not. Public voting is done by tracking their IP address. 
It isn’t end here. Blog owner will have complete control over those voting feature as well as using custom 
vote button and vote text.
Features
<ol>
<li>Control voting feature via voting on/off (admin feature)</li>
<li>Control allow or disallow post author to vote his own posts (admin feature)</li>
<li>Control allow or disallow public voting (admin feature)</li>
<li>Customise vote and voted text (admin feature)</li>
<li>Customise vote and voted buttons images (admin feature)</li>
<li>Customise alert message for non logged in users (admin feature)</li>
<li>Voting logs for site administrator (admin feature)</li>
<li>Sort voting logs by vote count or voted date (admin feature)</li>
<li>Show current vote count and vote button on frontend templates</li>
<li>Compitible with almost all of the themes. You just need to call required function from your template</li>
<li>Total vote count widget</li>
<li>Top voted widget</li>
<li>Now public voting supported.</li>
<li>Now shortcode supported. e.g. [wpvoting]</li>
<li>Top voted posts list shortcode</li>
</ol>
Features in future releases
<ol>
<li>Export to CSV for admin voting logs</li>
<li>Registered user voting logs</li>
<li>Re-implement backend voting log list with WP_List_Table class</li>
</ol>
Note-1: Kindly please rate this plugin or vote the compatibility. So I could review it and improve the quality of this plugin. Appreciate your help!
Resources
http://www.garyc40.com/2010/03/5-tips-for-using-ajax-in-wordpress/
http://www.onextrapixel.com/2009/06/22/how-to-add-pagination-into-list-of-records-or-wordpress-plugin/
http://www.onextrapixel.com/2009/07/01/how-to-design-and-style-your-wordpress-plugin-admin-panel/
http://planetozh.com/blog/2009/09/top-10-most-common-coding-mistakes-in-wordpress-plugins/
https://wordpress.org/extend/plugins/vote-it-up/
https://wordpress.org/extend/plugins/shortcodes-ultimate/

WP Voting

Site owner to add voting functionality to the blog posts.

multippt

Stoob

This plugin adds voting functionality for posts. This function is similar to Reddit or Digg, in that visitors can vote for and against.
Guests can also vote for posts. This functionality can be disabled as well.
A widget can be displayed showing the most voted posts on your blog, giving further exposure to your popular posts.
A brief summary of what the plugin has to offer:
<ul>
<li>Visitors can vote for your posts, if they are allowed to</li>
<li>Easy management of post votes</li>
<li>Two-way voting: People can vote for or against your posts if feature is enabled</li>
<li>Post authors can be barred from voting their own posts</li>
<li>Initial vote count feature enables the voting of posts the moment they were published</li>
<li>Fairly customizable features</li>
<li>Top voted post widget gives greater exposure of posts your readers like</li>
</ul>
<h3>Requirements</h3>
<ol>
<li>
A working WordPress install
</li>
<li>
WordPress theme must contain a call to the <code>get_header()</code> function
</li>
<li>
WordPress theme must contain the WordPress loop
</li>
</ol>
Most WordPress installs have these, so you need not worry about these.
In addition, one must have JavaScript enabled in their browsers in order to vote.
WordPress 2.8 or above is recommended for this plugin.
<h3>Customizing</h3>
Votingfunctions.php
Within <code>votingfunctions.php</code>, there are several functions that can shows other information.
<pre><code>GetVotes($post_ID): Returns the number of votes associated with the post.

UserVoted($post_ID, $user_ID): Returns TRUE if the user already voted for the post, FALSE if the user hasn't voted for the post

GetPostVotes($post_ID): Returns an array of user IDs that have voted for the post.

GetPostSinks($post_ID): Returns an array of user IDs that have voted against the post.

SortVotes(): Returns an array of post IDs and votes. The array is sorted with the post having the most votes at the top of the array.
</code></pre>

Vote It Up

The Vote It Up plugin enables visitors to vote for and against posts.

WP Voting vs Vote It Up