You can do this by modifying the control template for the DataGridRows exposed by the DataGrid. The example below uses WPF and the Aero theme.
The only thing I've done is removed your previous cal:Message.Attach call and move it to a new "placeholder" ContentControl that surrounds the Border (x:Name=DGR_Border) in the "default" control template. (I used ContentControl because it has no visuals of its own and it exposes a MouseDoubleClick event.)
<DataGrid Width="Auto"
SelectionMode="Extended"
IsReadOnly="True"
Name="ListDataGrid"
AutoGenerateColumns="False"
ItemsSource="{Binding ListFieldObject.MoviesList}"
DataContext="{StaticResource MovieAppViewModel}">
<DataGrid.Columns>
<DataGridTextColumn Width="200" IsReadOnly="True" Header="Title" Binding="{Binding Title}"/>
<DataGridTextColumn Width="100" IsReadOnly="True" Header="Rating" Binding="{Binding Rating}"/>
<DataGridTextColumn Width="100" IsReadOnly="True" Header="Stars" Binding="{Binding Stars}"/>
<DataGridTextColumn Width="93" IsReadOnly="True" Header="Release Year" Binding="{Binding ReleaseYear}"/>
</DataGrid.Columns>
<DataGrid.RowStyle>
<Setter Property="Background" Value="{DynamicResource {x:Static SystemColors.WindowBrushKey}}"/>
<Setter Property="SnapsToDevicePixels" Value="true"/>
<Setter Property="Validation.ErrorTemplate" Value="{x:Null}"/>
<Setter Property="ValidationErrorTemplate">
<Setter.Value>
<ControlTemplate>
<TextBlock Foreground="Red" Margin="2,0,0,0" Text="!" VerticalAlignment="Center"/>
</ControlTemplate>
</Setter.Value>
</Setter>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="{x:Type DataGridRow}">
<ContentControl cal:Message.Attach="[Event MouseDoubleClick] = [Action RowSelect($datacontext)]">
<Border x:Name="DGR_Border" BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Background="{TemplateBinding Background}" SnapsToDevicePixels="True">
<SelectiveScrollingGrid>
<SelectiveScrollingGrid.ColumnDefinitions>
<ColumnDefinition Width="Auto"/>
<ColumnDefinition Width="*"/>
</SelectiveScrollingGrid.ColumnDefinitions>
<SelectiveScrollingGrid.RowDefinitions>
<RowDefinition Height="*"/>
<RowDefinition Height="Auto"/>
</SelectiveScrollingGrid.RowDefinitions>
<DataGridCellsPresenter Grid.Column="1" ItemsPanel="{TemplateBinding ItemsPanel}" SnapsToDevicePixels="{TemplateBinding SnapsToDevicePixels}"/>
<DataGridDetailsPresenter Grid.Column="1" Grid.Row="1" SelectiveScrollingGrid.SelectiveScrollingOrientation="{Binding AreRowDetailsFrozen, ConverterParameter={x:Static SelectiveScrollingOrientation.Vertical}, Converter={x:Static DataGrid.RowDetailsScrollingConverter}, RelativeSource={RelativeSource AncestorType={x:Type DataGrid}}}" Visibility="{TemplateBinding DetailsVisibility}"/>
<DataGridRowHeader Grid.RowSpan="2" SelectiveScrollingGrid.SelectiveScrollingOrientation="Vertical" Visibility="{Binding HeadersVisibility, ConverterParameter={x:Static DataGridHeadersVisibility.Row}, Converter={x:Static DataGrid.HeadersVisibilityConverter}, RelativeSource={RelativeSource AncestorType={x:Type DataGrid}}}"/>
</SelectiveScrollingGrid>
</Border>
</ContentControl>
</ControlTemplate>
</Setter.Value>
</Setter>
</DataGrid.RowStyle>
</DataGrid>
The only other thing you'll have to do is modify your RowSelect() method to accept a parameter of whatever type you're using here (I just assumed it was a 'Movie' type).
public void RowSelect(Movie movie)
{
// do something with 'movie'
}