DoModal — wait until the Java window is closed

JavaShow — make a window visible and in front

ShowJavaConsole — display System.out and System.err output in a separate window

AppletViewer — display a Java Applet

ImplementJavaInterface — implement a Java interface via callbacks to Mathematica

MathActionListener — call a Mathematica function when an ActionEvent occurs in Java

MathWindowListener — call a Mathematica function when a WindowEvent occurs in Java

MathAdjustmentListener  ▪ MathComponentListener  ▪ MathContainerListener  ▪ MathFocusListener  ▪ MathItemListener  ▪ MathKeyListener  ▪ MathMouseListener  ▪ MathMouseMotionListener  ▪ MathPropertyChangeListener  ▪ MathTextListener  ▪ MathVetoableChangeListener

MathFrame, MathJFrame — convenience classes for Mathematica-aware Java windows