I have used Computer Modern, and I love it. Is there any other complete METAFONT font that can be used with LaTeX?
The LaTeX Font Catalogue provides an overview with examples and how to use them of nearly all freely available fonts with good LaTeX support.
Essentially any font will work with LaTeX as a text font, you just have to set it up first. Math fonts are more trouble because they need more symbols. A list of free math fonts is at http://www.ctan.org/tex-archive/info/Free_Math_Font_Survey/survey.html . There are also commercial LaTeX font sets, including all math fonts, for Times (known as MathTime) and Lucida.
There is also a program called XeTeX that is supposed to have very good support for fonts already installed on your computer. I haven't tried it, though.
An early project to make a complete font family was Pandora, but it has never really caught on.