Mark Allen

Outputs your blogroll links as a page or a post. Add the text <code></code> to a page or post and it will output your blogroll links organized by category heading.
In v2.1, two additional configuration options are available from the options page. These are:
<ul>
<li>
Suppress the category display. You may find this useful if you want to move your links to their own page, but you the blogroll categories at your site aren’t meaningful to visitors (or search engines.)
</li>
<li>
Change the display order of links. You can choose a primary and secondary order. Options here include Link ID (this id is internal the wordpress database and generally corresponds to the order the link was added into wordpress), Name (alphabetical), Address (the site URL), or rating.
</li>
</ul>
N.B.: This plugin doesn’t deal well with categories with parent links.
It’s based heavily on Dominic Foster’s original plugin which no longer works as of WordPress 2.3. <a href="http://www.websitehostingiq.net/blogroll-page-plugin/" rel="nofollow ugc">The original plugin is available here.</a>
<h3>Important Note</h3>
For a fancier version of the same plugin, check out <a href="https://wordpress.org/extend/plugins/blogroll-links" rel="ugc">Rajiv Pant’s version.</a>
<h3>Changes</h3>
<ul>
<li>
2.1 – Incorporated additional configuration options using a patch supplied by Mark A. Belcher.
</li>
<li>
2.0 – Initial release
</li>
</ul>
<h3>License</h3>
Copyright (C) 2007 Dominic Foster
Copyright (C) 2008 Mark R. Allen
All rights reserved.
This program is free software; you can redistribute it and/or 
modify it under the terms of the GNU General Public License 
as published by the Free Software Foundation; either version 2 
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, 
but WITHOUT ANY WARRANTY; without even the implied warranty of 
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 
GNU General Public License for more details.
You should have received a copy of the GNU General Public License 
along with this program; if not, write to the Free Software 
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.

JohnnyPea

Simple widget based on the default Links widget. It displays random links on your website.
I am open to suggestions to improve the plugin !

Rotating Links Widget

This plugin add widget which displays random links on your website.

Blogroll Links Page vs Rotating Links Widget