Composer is most definitely supported on WP8. This is most likely happening to you because your *.ccscene files are not getting bundled into your app. This is because Visual Studio will not automatically include files as “content” for extensions that it does not recognize.
What you need to do is the following:
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Go to the Solution Explorer panel in Visual Studio.
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Right click on a *.ccscene file and select Properties from the popup menu.
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In the Properties panel, go to the “Build Action” property and select “Content”.
You can also select multiple files in the Solution Explorer via Shift/Ctrl click and set all of them to “Content” in one shot as well.
I recommend that you go through all of your asset files to ensure that they’re Build Action is set to Content.
(This isn’t a Corona thing. This is something all Visual Studio developers need to be aware of.)
Note that we document this in the link below. See topic “How to add an existing Corona project to this Visual Studio project”.
http://docs.coronalabs.com/daily/coronacards/wp8/index.html#create-a-coronacards-app