These are the free apps I've installed on my Chrome.
Most of the apps are just links to the webapps, but they pretty much do the job.
1) Deviantart Muro - a drawing webapp by deviantart. http://muro.deviantart.com/
2) PsykoPaint - a fun drawing app that you can draw on your images. Great feature is you dont have to change the colors. http://www.psykopaint.com/painter.html
3) Evernote - Note taking application completely cloud based, so you can sync data easily between multiple PC's. http://www.evernote.com
4) Jolicloud - a chrome web app version of the latest netbook OS. Link : my.jolicloud.com
5) Picnik Photo Editor - Easy Image editing web application. http://www.picnik.com
6) SketchPad - Pixel based drawing app http://mugtug.com/sketchpad/
7) PostPost - Shows your facebook activity in the form of a newspaper for easy browsing. http://www.postpost.com/chrome.html
8) Ajax Animator - A free 2D animation (like flash) app. Easy to learn.
9) WordStash : Improve your vocabulary. Learn a new word everyday. http://wordstash.com/
10) CashBase : A simple app for personal finance management.
11) Layers : Another cool way to browse throught your twitter and facebook activity.
12) SteamBirds Survival : an addictive strategy game.
13) Feedly : Cool app for excessive blog readers. Syncs twitter & google reader as well.
14) GrooveShark : Must for Music Lovers. http://listen.grooveshark.com/
As a web designer myself, these are the apps I've installed.
http://www.aviary.com/
Aviary Image Editor & Vector Editor.These are the only two apps i use from Aviary, they have great features in the likes of Photoshop & Illustrator.
The Music creator is for creating music files and can be saved as mp3 7 other formats.
The Effects editor is a cloud based app for editing videos.