Gentium, called the "typeface for the nations," is a nice serif font. It does not look particularly great on-screen, but on paper, it is absolutely beautiful.

The Gentium samples page includes some pictures, as well as a a PDF containing a history of Gentium. Again, they don't do the font justice on-screen: print the PDF and just stare at how beautiful it is.

One of it's nice properties is that it's approximately the same size as Times New Roman, point for point. That is, a document typeset in Times New Roman and one typeset in Gentium will be the same length when printed. Because of this, Gentium is a great alternative to Times New Roman, because even with similar sizing, Gentium's glyphs appear bigger, and are much easier to read.

Did I mention it is Unicode? No, it doesn't have the entire Unicode character set... but no doubt it one day will.