datagutten

The project is inspired by RDP Wiki-Press Embed by Robert D Payne. Some code is also copied (noted in source).
The difference is that this is simpler. It contains as little CSS as possible to be able to customize it for each theme.
Links are rewritten to make the users able to navigate in the wiki without leaving your wordpress page.
The text on the wiki image page will be added as a title=”” tag to the image in wordpress, so by using the plugin <a href="http://archetyped.com/tools/simple-lightbox" rel="nofollow ugc">simple-lightbox</a>, the text will be shown below the image in the lightbox.
It is developed for use with a private MediaWiki install, but it might work with wikipedia as well.
<h3>Tested themes</h3>
Virtue: Works well 
WP-Forge: Works well 
Twenty Ten: Trouble with image alignment 
Twenty Thirteen: Works well 
Twenty Fourtenn: Trouble with image alignment, pages get very narrow 
Twenty Fifteen: Trouble with image alignment

Wikiembedder

Embed MediaWiki in a wordpress site and allow users to navigate the wiki without leaving your wordpress page.

Koichi Nakashima

This plugin is developed on Github. To get full source code, see Github.
<a href="https://github.com/ko1nksm/wp-markup-collection" rel="nofollow ugc">https://github.com/ko1nksm/wp-markup-collection</a>
<h4>Features</h4>
<ul>
<li>Write your posts using many markup languages.</li>
<li>Syntax highlighter plugin integration..</li>
<li>Customizable architecture to use another filter. (for developer)</li>
</ul>
<h4>Filters and supported Markup Languages</h4>
<ul>
<li>[Internal] PHP Markdown (Markdown)</li>
<li>[Internal] PHP Markdown Extra (Markdown Extra)</li>
<li>[Internal] PHP Markdown Lib (Markdown, Markdown Extra) *Requires PHP >= 5.3.0</li>
<li>[Internal] PHP Textile (Textile) *Requires PHP >= 5.3.0</li>
<li>[Internal] PHP reStructuredText (reStructuredText)</li>
<li>[Internal] Text_Wiki (BBcode, coWiki, Creole, DokuWiki, MediaWiki, Tiki)</li>
<li>[Internal] HatenaSyntax (Hatena Syntax)</li>
<li>[External] MultiMarkdown (MultiMarkdown)</li>
<li>[External] Pandoc (Markdown, reStructuredText, Textile, LaTeX, MediaWiki, AsciiDoc, Org-Mode, etc)</li>
</ul>
The external filter, you need to install the command.
<h4>Markup syntax</h4>
Supported syntax are depend on those libraries or commands.
PHP Markdown, PHP Markdown Extra, PHP Markdown Lib 
<a href="http://michelf.ca/projects/php-markdown/" rel="nofollow ugc">http://michelf.ca/projects/php-markdown/</a>
PHP Textile 
<a href="https://github.com/textile/php-textile/" rel="nofollow ugc">https://github.com/textile/php-textile/</a>
PHP reStructuredText 
<a href="https://code.google.com/p/php-restructuredtext/" rel="nofollow ugc">https://code.google.com/p/php-restructuredtext/</a>
Text_Wiki 
<a href="https://github.com/pear/Text_Wiki/" rel="nofollow ugc">https://github.com/pear/Text_Wiki/</a>
HatenaSyntax 
<a href="https://github.com/anatoo/HatenaSyntax" rel="nofollow ugc">https://github.com/anatoo/HatenaSyntax</a>
MultiMarkdown 
<a href="http://fletcherpenney.net/multimarkdown/" rel="nofollow ugc">http://fletcherpenney.net/multimarkdown/</a>
Pandoc 
<a href="http://johnmacfarlane.net/pandoc/" rel="nofollow ugc">http://johnmacfarlane.net/pandoc/</a>

WP-MarkupCollection

This plugin allows you to write posts using Markdown, DokuWiki, MediaWiki, reStructuredText, textile, HatenaSyntax, BBcode, etc.

Wikiembedder vs WP-MarkupCollection