Blender is the free and is a open source graphic and 3D creative studio. The application allows you to do a host of things including modelling, animation, simulation and amongst other things, video editing.
Blender is created by a community of hundreds of individual artists, students, graphic experts and animators. This means you could benefit from a global talent pool.
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Inscape could be considered a free alternative to various commercially available graphic suites including Adobe Illustrator. A host of talented people contribute to the development of this great application.
At first, learning to use the software can take you some time as its feature rich, however once you get the hang of it, it becomes very easy for you to create professional pieces of work.
Gimp is a lesser known graphic and photo editing software out there. Like the above two, this has been created by a global community.
The application has been predominately used for image retouching and editing, free-form drawing and professionals use it for more specialised tasks. Its also possible to converting between different image formats.