something like

    <ViewElement.Triggers>
        <EventTrigger RoutedEvent="ViewElement.Bind">
            <EventTrigger.Actions>
                <BeginStoryboard Storyboard="{StaticResource ViewInitAnimation}" TargetName="MyTarget" />

Yes! That would be great. Sometimes I need to play the same animation on multiple target objects that have similar animated properties, but I'm forced to simply duplicate the Storyboard or the same keyframes in a single Storyboard and only change the target. It would also be useful to have this on ControlStoryboardAction.

BeginStoryboard starts the Storyboard using the element where it is defined as target, so things like this already work:

<Grid
  xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
  xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
  Background="White">
  <Grid.Resources>
    <Storyboard x:Key="hoverOn">
      <ColorAnimation To="YellowGreen" Storyboard.TargetProperty="Fill.Color"/>
    </Storyboard>
    <Storyboard x:Key="hoverOff">
      <ColorAnimation To="Orange" Storyboard.TargetProperty="Fill.Color"/>
    </Storyboard>
  </Grid.Resources>
  <StackPanel HorizontalAlignment="Center" VerticalAlignment="Center">
    <Rectangle Width="300" Height="100" Fill="Orange" Margin="0,10">
      <Rectangle.Triggers>
        <EventTrigger RoutedEvent="UIElement.MouseEnter">
          <BeginStoryboard Storyboard="{StaticResource hoverOn}"/>
        </EventTrigger>
        <EventTrigger RoutedEvent="UIElement.MouseLeave">
          <BeginStoryboard Storyboard="{StaticResource hoverOff}"/>
        </EventTrigger>
      </Rectangle.Triggers>
    </Rectangle>
    <Ellipse Width="300" Height="100" Fill="Orange" Margin="0,10">
      <Ellipse.Triggers>
        <EventTrigger RoutedEvent="UIElement.MouseEnter">
          <BeginStoryboard Storyboard="{StaticResource hoverOn}"/>
        </EventTrigger>
        <EventTrigger RoutedEvent="UIElement.MouseLeave">
          <BeginStoryboard Storyboard="{StaticResource hoverOff}"/>
        </EventTrigger>
      </Ellipse.Triggers>
    </Ellipse>
  </StackPanel>
</Grid>

Isn't this enough?

I hadn't realised I could use it like that (I was already doing it in some places but without thinking about it). I think that might be enough, sorry and thanks!

Great, closing this.