A simple stage with undecorated stage style, doesn't iconify if you click on the taskbar icon.

It works with standard decoration.


Test app:

import javafx.application.Application;
import javafx.scene.Scene;
import javafx.scene.control.Label;
import javafx.stage.Stage;
import javafx.stage.StageStyle;

public class FXAnimatorTestMain extends Application
{

public static void main(String[] args)
{
launch(args);
}

@Override
public void start(Stage primaryStage)
{
Label frontLabel = new Label("This is the front.");

primaryStage.initStyle(StageStyle.UNDECORATED);

primaryStage.setWidth(200);
primaryStage.setHeight(200);
primaryStage.setScene(new Scene(frontLabel));
primaryStage.show();
}
}