Phoenixheart

This plugins display a highly customizable list of random posts. There are some plugins that serve a similar purpose already, with one drawback: If they’re used along with cache plugins (like WP-Super Cache), the list is cached also, and remains the same over thousands of views, thus not so “random.” AJAX Random Posts, as its name says, uses AJAX to retrieve the posts and overcome the problem: now each page refresh comes with a different list!
<h3>Features</h3>
<ul>
<li>Compatible with caching plugins, since the core is written and run in JavaScript which is normally not cached.</li>
<li>The list is highly customizable: number of posts, html format, tags (like post url, title, categories, date etc.) can be included.</li>
</ul>
<h3>History</h3>
<ul>
<li>0.3.3</li>
</ul>
<ol>
<li>Scripts and styles now enqueued to ensure max compatibility.</li>
</ol>
* 0.3.2.0 
1. Add an option to include/exclude the sticky posts into the list. 
* 0.3.1.0 
1. Code Optimization 
1. Add a Donate button 
* 0.3.0.2 Raise compalibility 
* 0.3.0.1 Some minor bug fixes 
* 0.3 The old versions encountered an IE bug that makes some texts disappear. Fixed in 0.3. 
* 0.2 A small fix 
* 0.1 Initial version

AJAX Random Posts

Displays a list of random posts using AJAX. Works with cache plugins, and highly customizable.

Scribit

With Random plugin you can insert into your WordPress website one or more random contents coming from your posts. 
The source contents can be pages, posts or custom post types. 
You can display information in many different ways: 
* A list of post titles 
* One or more full contents or excerpts 
* Raw URLs to posts permalink

Random

This plugin give to your website the possibility to get random content for specific posts types. You can use to give to your visitors random posts, or random woocommerce products for your clients.
Very useful in my opinion.

Wikipedia style!

Random, a great plugin designed to insert random contents, posts and other types, into your website. Enjoy its shortcodes!

AJAX Random Posts vs Random