Pstricks with pst-matrix
This will require you to atleast be tiny-bit familiar with pstricks. You layout nodes in a pstmatrix and connect them up. More info and examples here http://tug.org/PSTricks/main.cgi?file=pst-node/psmatrix/psmatrix#flowchart
TikZ
IMHO it is easier and better than previous one. Since you can design a few node styles (1-3 lines) and then possition nodes relative to each other (above, right, below, north east, etc) and connect them up with cool arrows in one go (A -- B -- C -- D) with an appropriate style the arrows will be automagic.
You can use the TikZ matrix library for a more rigid control of node positioning. See texdoc tikz for the excellent tutorial on how to do simple -> advanced flowchart and a simple example here.
Dia
You can use Dia (website and windows installer) for a point-and-click solution. It has a few different TeX exporters (pstricks, metapost and pgf/tikz)
Graphviz
You can use powerful graphviz / dot language to generate auto-layout for diagrams. This works very well for both small and large datasets. Although you have much less control in "alligning" nodes.
The website is here. There are a few solutions to "integrate" dot diagrams with LaTeX. See this, here and finally this.
Other
Like with any graphics you can create a flowchart in inkscape/OO.o etc and just do \includegraphics in your document. If you fancy that. Very depends on your needs.
ps. /me is a TikZ fan =)
flowproduces (in my opinion). – Caramdir Jul 31 '10 at 12:51