Run Code:

import com.sun.javafx.scene.control.cell.StringConverterCellFactory;
import javafx.application.Application;
import javafx.scene.Scene;
import javafx.scene.control.ListView;
import javafx.scene.layout.VBox;
import javafx.stage.Stage;
import javafx.util.StringConverter;

public class JavaApplication33 extends Application {

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

    @Override
    public void start(Stage stage) throws Exception {
        VBox vb = new VBox();
        ListView lv = new ListView();

        CustomStringConverter sc = new CustomStringConverter();

        System.out.println("SC : " + sc);

        lv.setCellFactory(StringConverterCellFactory.forListView(sc));

        vb.getChildren().add(lv);
        Scene scene = new Scene(vb, 300, 300);
        stage.setScene(scene);
        stage.show();
    }

    class CustomStringConverter extends StringConverter {

        public static final String TO_STRING_PREFIX = "to string convert ";
        public static final String FROM_STRING_PREFIX = "from string convert ";
        public static final String MID_STRING_PREFIX = " of item ";
        int toStringCounter = 0;
        int fromStringCounter = 0;

        @Override
        public String toString(Object t) {
            return TO_STRING_PREFIX + toStringCounter++ + MID_STRING_PREFIX + t.toString();
        }

        @Override
        public Object fromString(String string) {
            return FROM_STRING_PREFIX + fromStringCounter++ + MID_STRING_PREFIX + string;
        }
    }
}

I see exception:
SC : javaapplication33.JavaApplication33$CustomStringConverter@b3ed2e3
Exception in Application start method
Exception in thread "main" java.lang.RuntimeException: Exception in Application start method
at com.sun.javafx.application.LauncherImpl.launchApplication1(LauncherImpl.java:403)
at com.sun.javafx.application.LauncherImpl.access$000(LauncherImpl.java:47)
at com.sun.javafx.application.LauncherImpl$1.run(LauncherImpl.java:115)
at java.lang.Thread.run(Thread.java:722)
Caused by: java.lang.IllegalArgumentException: StringConverter must not be null
at com.sun.javafx.scene.control.cell.StringConverterListCell.<init>(StringConverterListCell.java:38)
at com.sun.javafx.scene.control.cell.StringConverterCellFactory$1.call(StringConverterCellFactory.java:62)
at com.sun.javafx.scene.control.cell.StringConverterCellFactory$1.call(StringConverterCellFactory.java:60)
at com.sun.javafx.scene.control.skin.ListViewSkin.createCell(ListViewSkin.java:189)
at com.sun.javafx.scene.control.skin.ListViewSkin$1.call(ListViewSkin.java:63)
at com.sun.javafx.scene.control.skin.ListViewSkin$1.call(ListViewSkin.java:61)
at com.sun.javafx.scene.control.skin.VirtualFlow.getCell(VirtualFlow.java:1476)
at com.sun.javafx.scene.control.skin.VirtualFlow.getCellLength(VirtualFlow.java:1502)
at com.sun.javafx.scene.control.skin.VirtualFlow$3.call(VirtualFlow.java:478)
at com.sun.javafx.scene.control.skin.VirtualFlow$3.call(VirtualFlow.java:476)
at com.sun.javafx.scene.control.skin.PositionMapper.computeViewportOffset(PositionMapper.java:143)
at com.sun.javafx.scene.control.skin.VirtualFlow.layoutChildren(VirtualFlow.java:986)
at javafx.scene.Parent.layout(Parent.java:1003)
at javafx.scene.Parent.layout(Parent.java:1013)
at javafx.scene.Parent.layout(Parent.java:1013)
at javafx.scene.Parent.layout(Parent.java:1013)
at javafx.scene.Scene.layoutDirtyRoots(Scene.java:500)
at javafx.scene.Scene.doLayoutPass(Scene.java:473)
at javafx.scene.Scene.preferredSize(Scene.java:1245)
at javafx.scene.Scene.impl_preferredSize(Scene.java:1272)
at javafx.stage.Window$10.invalidated(Window.java:719)
at javafx.beans.property.BooleanPropertyBase.markInvalid(BooleanPropertyBase.java:129)
at javafx.beans.property.BooleanPropertyBase.set(BooleanPropertyBase.java:163)
at javafx.stage.Window.setShowing(Window.java:782)
at javafx.stage.Window.show(Window.java:797)
at javafx.stage.Stage.show(Stage.java:229)
at javaapplication33.JavaApplication33.start(JavaApplication33.java:39)
at com.sun.javafx.application.LauncherImpl$5.run(LauncherImpl.java:319)
at com.sun.javafx.application.PlatformImpl$4.run(PlatformImpl.java:175)
at com.sun.javafx.application.PlatformImpl$3.run(PlatformImpl.java:142)
at com.sun.glass.ui.win.WinApplication._runLoop(Native Method)
at com.sun.glass.ui.win.WinApplication.access$100(WinApplication.java:29)
at com.sun.glass.ui.win.WinApplication$2$1.run(WinApplication.java:62)
... 1 more
Java Result: 1

That is actual for ListView and TableView