HarfBuzz is a text shaping library. Using the HarfBuzz library allows programs to convert a sequence of Unicode input into properly formatted and positioned glyph output—for any writing system and language.
The current HarfBuzz codebase is versioned 2.x.x and is stable and under active maintenance. This is what is used in latest versions of Firefox, GNOME, ChromeOS, Chrome, LibreOffice, XeTeX, Android, and KDE, among other places.
Prior to 2012, the original HarfBuzz codebase (which, these days, is referred to as harfbuzz-old) was derived from code in FreeType, Pango, and Qt. It is not actively developed or maintained, and is extremely buggy. All users of harfbuzz-old are encouraged to switch over to the new HarfBuzz as soon as possible.
To make this distinction clearer in discussions, the current HarfBuzz codebase is sometimes referred to as harfbuzz-ng.
For reference purposes, the harfbuzz-old source tree is archived here. There are no release tarballs of harfbuzz-old whatsoever.