jEdit - Programmer's text editor written in Java, using JDK 1.1 and Swing 1.1. [GPL] - http://www.jedit.org/
KORAIS - Editor and Email application for ancient languages (Ancient Greek, Coptic, Aramaic, Hieroglyphic Egyptian, Luwian and others). Supporting Unicode. [GPL] - http://korais.sourceforge.net/
PlEd - A text editor with plugins support. [GPL] - http://home.arcor.de/hirnstrom/pled/index.html
Jext - Free java text editor. It is mainly designed for programmers and provides powerful features in a nice GUI. [GPL] - http://www.jext.org/
RabtPad - A Java and Unicode based text editor for arabic based scripts including Urdu with, import export, virtual keyboard, configurable keyboard mapping, export to RTF, HTML and PDF. [GPL] - http://rabtpad.sourceforge.net/
Java Outline Editor - A folding editor written in Java. [BSD] - http://outliner.sourceforge.net/
JE, Just an Editor - Ordinary ASCII editor written entirely in Java. Though it is incomplete yet, it has already features you won't find easily in another editor. In general, it is a multi-file ASCII editor with syntax highlighting, which provides a graphical user interface. - http://mathsrv.ku-eichstaett.de/MGF/homes/grothmann/je/