I guess the following picture depicts the problem better than texts...

That is what I need.

<ListBox x:Name="NamesListBox" ItemsSource="{Binding}">
    <ListBox.ItemsPanel>
        <ItemsPanelTemplate>
            <WrapPanel x:Name="ItemWrapPanel">
                <WrapPanel.RenderTransform>
                    <TranslateTransform x:Name="ItemWrapPanelTransformation" X="0" />
                </WrapPanel.RenderTransform>
                <WrapPanel.Triggers>
                    <EventTrigger RoutedEvent="WrapPanel.Loaded">
                        <BeginStoryboard>
                            <Storyboard>
                                <DoubleAnimation Storyboard.TargetName="ItemWrapPanelTransformation" Storyboard.TargetProperty="X" To="-1000" From="{Binding ElementName=ScrollingListItemsWindow, Path=Width}"  Duration="0:0:9" RepeatBehavior="100" />
                            </Storyboard>
                        </BeginStoryboard>
                    </EventTrigger>
                </WrapPanel.Triggers>
            </WrapPanel>
        </ItemsPanelTemplate>
    </ListBox.ItemsPanel>
    <ListBox.ItemTemplate>
        <DataTemplate>
            <Grid>
                <Label Content="{Binding}" />
            </Grid>
        </DataTemplate>
    </ListBox.ItemTemplate>
</ListBox>

is what I did. But here I don't wanna hard code -1000 for the X value, rather I want to determine this based on the length of the wrap panel/number of items. Can somebody help me with this ??

Reason why I choose list box is that the number of items can increase and decrease at any time and suits the problem better.

If you have got any other idea, please suggest it too.

Thanks.