Zoner Draw 3
Zoner Draw is a vector graphics editor fit for all users and uses: create impressive leaflets, illustrations, business cards, letterheads, postcards, titles, maps, greeting cards, and more.

Skencil draw
Skencil is a Free Software interactive vector drawing appliction. Known to run on GNU/Linux and other UNIX-compatible systems, it is a flexible and powerful tool for illustrations, diagrams and other purposes. A somewhat unique (for a drawing program) feature of Skencil is that it is implemented almost completely in a very high-level, interpreted language, Python. Python is powerful, object-oriented and yet easy to use.

Inkscape
Inkscape is an open source drawing tool with capabilities similar to Illustrator, Freehand, and CorelDraw that uses the W3C standard scalable vector graphics format (SVG). Some supported SVG features include basic shapes, paths, text, markers, clones, alpha blending, transforms, gradients, and grouping. In addition, Inkscape supports Creative Commons meta-data, node-editing, layers, complex path operations, text-on-path, and SVG XML editing. It also imports several formats like EPS, Postscript, JPEG, PNG, BMP, and TIFF and exports PNG as well as multiple vector-based formats. Inkscape's main motivation is to provide the Open Source community with a fully W3C compliant XML, SVG, and CSS2 drawing tool. Additional planned work includes conversion of the codebase from C/Gtk to C++/Gtkmm, emphasizing a lightweight core with powerful features added through an extension mechanism, and the establishment of a friendly, open, community-oriented development processes.

Sodipodi
Sodipodi is a vector-based drawing program, like CorelDraw® or Adobe Illustrator® from the proprietary software world, and Sketch or Karbon14 from the free software world. It is free software, distributed under the terms of the Gnu General Public License, Version 2.

Mark Overmars Drawing for Childen
Drawing for Childen is a free drawing program for children with many nice options. The best way to learn to use it is simply to use it. There is though a document describing the use of the program.

Serif DrawPlus 4
Serif DrawPlus 4 does it all from decorative page elements and logos, to full page illustrations and everything in between. With it's combination of powerful functionality, simplicity and professional quality output, DrawPlus 4 is the graphics and illustration program for everyone.