MainWindow.xaml

<Window x:Class="ListViewSample.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
        xmlns:local="clr-namespace:ListViewSample"
        xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
        Title="MainWindow"
        Width="525"
        Height="350"
        d:DataContext="{d:DesignInstance local:MainViewModel}"
        mc:Ignorable="d">

    <Window.Resources>
        <ResourceDictionary>
            <local:EnumToBoolConverter x:Key="EnumToBoolConverter" />

            <Style x:Key="ListViewItemStyle" TargetType="{x:Type ListViewItem}">
                <Setter Property="HorizontalContentAlignment" Value="Stretch" />
                <Setter Property="VerticalContentAlignment" Value="Center" />
            </Style>

            <Style TargetType="{x:Type ListView}">
                <Style.Resources>
                    <!--  this is necessary to prevent nasty can not find stuff like  -->
                    <!--  ItemsPanel Cannot find source for binding with reference 'RelativeSource FindAncestor, AncestorType='System.Windows.Controls.ItemsControl', AncestorLevel='1''. BindingExpression:Path=HorizontalContentAlignment; DataItem=null; target element is 'ListViewItem' (Name=''); target property is 'HorizontalContentAlignment' (type 'HorizontalAlignment')  -->
                    <Style BasedOn="{StaticResource ListViewItemStyle}" TargetType="{x:Type ListViewItem}" />
                </Style.Resources>
                <Setter Property="HorizontalContentAlignment" Value="Stretch" />
                <Setter Property="ItemContainerStyle" Value="{StaticResource ListViewItemStyle}" />
                <Setter Property="ItemTemplate">
                    <Setter.Value>
                        <DataTemplate>
                            <TextBlock HorizontalAlignment="Right"
                                       VerticalAlignment="Center"
                                       Text="{Binding}" />
                        </DataTemplate>
                    </Setter.Value>
                </Setter>
                <Setter Property="VerticalContentAlignment" Value="Stretch" />
                <Style.Triggers>
                    <DataTrigger Binding="{Binding ListViewMode, Mode=OneWay}"
                                 Value="{x:Static local:ListViewMode.Tile}">
                        <Setter Property="ItemTemplate">
                            <Setter.Value>
                                <DataTemplate>
                                    <Grid Width="40" Height="40">
                                        <TextBlock HorizontalAlignment="Center"
                                                   VerticalAlignment="Center"
                                                   Text="{Binding}" />
                                    </Grid>
                                </DataTemplate>
                            </Setter.Value>
                        </Setter>
                        <Setter Property="ItemsPanel">
                            <Setter.Value>
                                <ItemsPanelTemplate>
                                    <WrapPanel IsItemsHost="True" />
                                </ItemsPanelTemplate>
                            </Setter.Value>
                        </Setter>
                    </DataTrigger>
                </Style.Triggers>
            </Style>
        </ResourceDictionary>
    </Window.Resources>

    <Grid Margin="5 0">

        <Grid.RowDefinitions>
            <RowDefinition Height="Auto" />
            <RowDefinition Height="*" />
        </Grid.RowDefinitions>

        <StackPanel Grid.Row="0"
                    Margin="0 5"
                    HorizontalAlignment="Right"
                    Orientation="Horizontal">
            <RadioButton Margin="1"
                         Content="Standard"
                         IsChecked="{Binding ListViewMode, Mode=TwoWay, UpdateSourceTrigger=PropertyChanged, Converter={StaticResource EnumToBoolConverter}, ConverterParameter={x:Static local:ListViewMode.Standard}}" />
            <RadioButton Margin="1"
                         Content="Tile"
                         IsChecked="{Binding ListViewMode, Mode=TwoWay, UpdateSourceTrigger=PropertyChanged, Converter={StaticResource EnumToBoolConverter}, ConverterParameter={x:Static local:ListViewMode.Tile}}" />
        </StackPanel>

        <ListView Grid.Row="1" ItemsSource="{Binding SimpleItems}" />

    </Grid>

</Window>