The best completely Free Windows Software - Freeware. No shareware, no nagware, no adware.
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Chrome
Hugin
We've all seen them. Panorama photographs that cannot possibly have been taken with one shot. They can span a city, a beach, a desert. They are created using some kind of photo-stitching software.
Hugin is the most feature-rich panorama creator available, free or otherwise. You can take a series of photos with different cameras, different lenses, even different perspectives, and Hugin will help you transform you series of snapshots into a beautiful panorama.
Gimp Portable
The Most Powerful Graphics Freeware is Portable
Imaging carrying the power of Photoshop from machine to machine
XnView
XnView is one of my favorite image viewers (along with IrfanView), portable or not. It can view practically every image format out there and can convert between them. It has a rudimentary photo editor, and it supports Photoshop plugins. Nice!
ArtRage
This is about as close to real painting as it gets. If you have a tablet PC or even a graphic tablet, you should definitely give this a try. It does work with a mouse, but you don't get the same "painterly" feel without a tablet's pressure sensitivity. This is a beautiful piece of free software. Take a look at the gallery for some impressive examples.
http://www.artrage.com/index.html
Inkscape
LibreOffice Draw
These are pretty close contenders. Neither of them are Adobe Illustrator or CorelDraw, but again, if you're a professional, you probably won't be allowed to use anything but what your shop requires. OpenOffice Draw has a couple more features than Inkscape, but its interface isn't quite as polished. If have the OpenOffice suite installed, you probably won't need Inkscape, but if not, you might want to give Inkscape a whirl.
http://www.inkscape.org
Picasa 2
The difference between an image viewer and image browser is like the difference between a DVD player and Tivo. A DVD player / image viewer lets you look at the thing you want to see. An image browser / Tivo let you browse quickly and precisely through a lot of stuff. Okay, the analogy isn't great, but hopefully you get my point.
Irfanview
There are a lot of image viewers out there, and picking the best is largely a matter of taste. Irfanview stands out because of the large number of formats it can view and convert. It also has a command-line option, if you need that kind of thing. Extremely small and fast, two features that push it ahead of other similar products.
http://www.irfanview.com/
Blender
Blender is about twenty years old now and is amazingly robust. Professional 3D software runs from several hundred to several thousand dollars. If you go through the feature list, it's quite amazing that it is freeware (Open Source GNU Public License). It has all the standard features of the professional programs with sophisticated modeling, animation and rendering. It even includes realtime 3D game creation. And yet, there's more! Import and export standard 3D file formats. Create standalone executable files to distribute your creations.