There are a number of applications which are powered by Mojolicious. This list will include some of them, if you know more examples, give us a hint or feel free to add them.
Galileo: A simple CMS, designed for ease of deployment.
See a live demo at: http://galileo-cms.herokuapp.com
A Postfixadmin clone.
A working protopype of a RESTful service for notes management
Example monolithic still extensible Content Management System - abandonned, see Ado
Mashup between Github and MetaCPAN: http://www.github-meets-cpan.com
PortableBBS: very portable web application example using CPAN module
Bkmrx: open source social bookmarking site based on Mojolicious & MongoDB
mojo_template: Templates for quick web development, with perl + Mojolicious.
Ado: a framework for web projects that adds some expected features like Digest Login Form, SQLite database, MarkdownRenderer, Routes plugin, Semantic UI, minimal dependencies. Extending Ado is easy with Mojolicious and Ado-specific plugins. Available on CPAN.
App::Dirserve serves and navigates listings of static directory trees
A POD viewer for the current directory
A photo booth application which uses Mojolicious
Bootylicious was a one-file weblog on Mojo steroids and, sadly, became unmaintained.
A more minimalistic and simplified Bootylicious.
Small wiki based on top of Mojolicious::Lite
Pastelicious is a paste service in Mojolicious::Lite.
Tweetylicious is a Twitter-like microblogging app in just one file
Image upload tool - the website is in Japanese, however the source code is self explanatory.
Simple search interface using REST and JSON for Apache Solr, an enterprise search platform.
Boilerplate example application using HTML5Boilerplate(http://html5boilerplate.com/) and Mojolicious::Lite
MicroCMS: Mojolicious::Lite and Bootstrap based simple cms
PostgreSQL or SQLite backed RSS news feed aggregator
A simple single script photo gallery
The following examples don't work out of the box or are related to older version of Mojolicious. Use this code as references but read the current documentation!
HTML5 canvas, websocket application - a bomberman clone
Websocket application - vnc via websockets
Websocket based collaboration drawing tool
HTML5 websocket shell on top of Mojolicious
Websocket slideshow presentation and chat server
HTML5 websocket console