Sorry, Movie Maker can't open this project file. The file might not be compatible with Windows Live Movie Maker or be corrupted.
If you are willing to wait, Microsoft will fix a corrupted file for you and if you aren't very technically savvy, that's what I would suggest. Completely follow the instructions at that link, especially the last step where you submit a private request for support on this issue.
This post is for anyone that wants to know what is happening behind the scenes, or that wants to try to fix the problem on their own. It requires some PC knowledge.
The first step is to make a copy of the file so you aren't working with the original. You do this by copying the file in Windows Explorer then pasting it back into the same folder with a new name. You'll want to use the copy, not the original. Right-click on the copy of the project file and choose 'Open With' and pick the Notepad application. The file is text in the form of XML tags. It's just a hierarchical mark-up similar to HTML.
Scroll to the bottom of the file to find a <BoundPlaceHolders> section. It says that the "Text" section has an extentID of 4. Looking just above that you should see a section that starts with <ExtentSelector ExtentID="4" which lists all the added titles and captions by number. Make a note of all these because you'll need them later. You might want to select and print just this section, or paste that list into another window so you can refer back to it.
Now search further up for each section starting with <TitleClip. Ignore any sections that have a complete section between the <Effects> and </Effects> tags. Eventually you'll hit a few that just have <Effects/> (an empty Effects section).
Check if that ExtentID is in the list of ExtentIDs in the Text section from before (the ones you made a note of). If it isn't you can ignore this, but if you find that it has an empty Effects section *and* it is listed in that block of text ExtentIDs, that's a problem.
The quickest fix is to then go to the ExtentIDs section and remove that problem ExtentID. It will remove that one problem caption and that will usually fix it, so you might be able to stop here. However, you should check all <TitleClip sections to be sure. After removing any problem ExtentIDs, you can save the file.
You should now be able to open the project in Movie Maker just like before. You may need to recheck your captions and add back any that were removed, but at least you won't have a completely corrupted project.
As a final step, I'd recommend downloading the latest version of Movie Maker to avoid corruption in the future. That won't fix broken projects, but at least it will stop you from having this problem going forward.
It's really not all that magical and can be done easily, if you are careful and only work in a copy.
Edit: Since posting this, I've seen other corruptions unrelated to the captions. The newest corruption will still let you open the project, but you'll see nothing in the storyboard project area. Whenever I have encountered this, the cause was a VideoClip that had a start point after the ending point. You can fix this by setting the start point back to zero for any clips that are set incorrectly. Again, always work in a copy, not the original.