Update: I wrote a blog post about this too http://josheinstein.com/blog/index.php/2010/07/windows-7-style-aero-childwindow-template/
I deleted my previous answer because I decided to take another stab at a Windows 7 style Aero ChildWindow. I still can't seem to get a blur effect to work right because blur only blurs the contents of the element it's applied to. If that element has transparency, anything that shows through it is NOT blurred. I guess it could be done with some trickery using a writable bitmap or a pixel shader but I'm not really up for that at the moment.
However, using the awesome "gradient eyedropper" tool in Blend I managed to get my title bar and close button to look very similar to a Windows 7 caption. Screen shot (pretty) and XAML (not so pretty) are below.
<ResourceDictionary xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
xmlns:s="http://schemas.microsoft.com/winfx/2006/xaml/presentation/sdk">
<Style x:Key="AeroWindowCloseButton" TargetType="Button">
<Setter Property="Background">
<Setter.Value>
<LinearGradientBrush StartPoint="0,0" EndPoint="0,1">
<GradientStop Color="#FFEEB3AC" Offset="0.009"/>
<GradientStop Color="#FFDA8578" Offset="0.402"/>
<GradientStop Color="#FFC64D38" Offset="0.459"/>
<GradientStop Color="#FFC84934" Offset="0.598"/>
<GradientStop Color="#FFD48671" Offset="0.885"/>
<GradientStop Color="#FFE8BBAE" Offset="0.943"/>
</LinearGradientBrush>
</Setter.Value>
</Setter>
<Setter Property="BorderBrush" Value="#FF5E5E5E"/>
<Setter Property="BorderThickness" Value="1"/>
<Setter Property="Foreground" Value="White"/>
<Setter Property="Padding" Value="3"/>
<Setter Property="Width" Value="45"/>
<Setter Property="Height" Value="20"/>
<Setter Property="IsTabStop" Value="False"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="Button">
<Border
Background="{TemplateBinding Background}"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="{TemplateBinding BorderThickness}"
CornerRadius="0,0,3,3">
<Path
Fill="{TemplateBinding Foreground}"
Width="11"
Height="10"
Stretch="Fill"
Data="F1 M 6.742,3.852 L 9.110,1.559 L 8.910,0.500 L 6.838,0.500 L 4.902,2.435 L 2.967,0.500 L 0.895,0.500 L 0.694,1.559 L 3.062,3.852 L 0.527,6.351 L 0.689,7.600 L 2.967,7.600 L 4.897,5.575 L 6.854,7.600 L 9.115,7.600 L 9.277,6.351 L 6.742,3.852 Z">
<Path.Stroke>
<LinearGradientBrush EndPoint="0.5,1" StartPoint="0.5,0">
<GradientStop Color="#FF313131" Offset="1"/>
<GradientStop Color="#FF8E9092" Offset="0"/>
</LinearGradientBrush>
</Path.Stroke>
</Path>
</Border>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
<Style x:Key="AeroWindow" TargetType="s:ChildWindow">
<Setter Property="Background" Value="White"/>
<Setter Property="BorderBrush" Value="#FF5E5E5E"/>
<Setter Property="BorderThickness" Value="1"/>
<Setter Property="OverlayBrush" Value="Transparent"/>
<Setter Property="OverlayOpacity" Value="0"/>
<Setter Property="HorizontalContentAlignment" Value="Stretch"/>
<Setter Property="VerticalContentAlignment" Value="Stretch"/>
<Setter Property="Padding" Value="5"/>
<Setter Property="IsTabStop" Value="false"/>
<Setter Property="TabNavigation" Value="Cycle"/>
<Setter Property="UseLayoutRounding" Value="True"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate TargetType="s:ChildWindow">
<Grid x:Name="Root">
<!-- OVERLAY BEHIND CHILDWINDOW -->
<Grid
x:Name="Overlay"
Background="{TemplateBinding OverlayBrush}"
Opacity="{TemplateBinding OverlayOpacity}"
HorizontalAlignment="Stretch"
VerticalAlignment="Top"/>
<!-- WINDOW CONTAINER -->
<Grid x:Name="ContentRoot" Width="{TemplateBinding Width}" Height="{TemplateBinding Height}">
<!-- GLASS BACKGROUND AND BORDER -->
<!--
NOTE: This border should not physically contain the rest of the
window contents because it has an opacity setting that would
affect all of its children. Instead, a second border is directly
above it in the z-order and contains the child elements.
-->
<Border
x:Name="Chrome"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="{TemplateBinding BorderThickness}"
CornerRadius="4"
Opacity="0.9">
<Border.Background>
<LinearGradientBrush MappingMode="Absolute" StartPoint="0,0" EndPoint="1920,0">
<GradientStop Color="#FFADC9E5" Offset="0.010"/>
<GradientStop Color="#FFA7C2DC" Offset="0.069"/>
<GradientStop Color="#FFB7D2EC" Offset="0.084"/>
<GradientStop Color="#FFB7D2EC" Offset="0.146"/>
<GradientStop Color="#FFA8C4DE" Offset="0.168"/>
<GradientStop Color="#FFB8D3ED" Offset="0.455"/>
<GradientStop Color="#FFA6C1DB" Offset="0.518"/>
<GradientStop Color="#FFB6D1EB" Offset="0.543"/>
<GradientStop Color="#FFA7C2DC" Offset="0.604"/>
<GradientStop Color="#FFB7D2EC" Offset="0.618"/>
<GradientStop Color="#FFB7D2EC" Offset="0.700"/>
<GradientStop Color="#FFABC6E1" Offset="0.722"/>
<GradientStop Color="#FFB1CEEA" Offset="0.778"/>
</LinearGradientBrush>
</Border.Background>
</Border>
<!-- WINDOW CONTENTS -->
<!--
NOTE: This element will not have a visible border. The Chrome element
provides the visible border but this element needs to have a matching
thickness and corner radius so that the contents of the window are
"pushed in" by the same amount.
-->
<Border BorderThickness="{TemplateBinding BorderThickness}" CornerRadius="4">
<Grid>
<Grid.RowDefinitions>
<RowDefinition Height="25"/>
<RowDefinition/>
</Grid.RowDefinitions>
<Grid.ColumnDefinitions>
<ColumnDefinition/>
<ColumnDefinition Width="Auto"/>
</Grid.ColumnDefinitions>
<ContentControl
Content="{TemplateBinding Title}"
Foreground="#FF393939"
FontWeight="Bold"
VerticalAlignment="Center"
Margin="6,0,6,0"
Grid.Row="0"
Grid.Column="0"/>
<Button
x:Name="CloseButton"
Style="{StaticResource AeroWindowCloseButton}"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="1,0,1,1"
VerticalAlignment="Top"
Margin="0,0,5,0"
Grid.Row="0"
Grid.Column="1"/>
<Border
Background="{TemplateBinding Background}"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="{TemplateBinding BorderThickness}"
Margin="{TemplateBinding Padding}"
Grid.Row="1"
Grid.ColumnSpan="2">
<ContentPresenter
x:Name="ContentPresenter"
Content="{TemplateBinding Content}"
ContentTemplate="{TemplateBinding ContentTemplate}"
HorizontalAlignment="{TemplateBinding HorizontalContentAlignment}"
VerticalAlignment="{TemplateBinding VerticalContentAlignment}"/>
</Border>
</Grid>
</Border>
</Grid>
</Grid>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
</ResourceDictionary>