First, I can't stress this enough - make sure your use of a Singleton is not the Singleton as an antipattern.
I don't know enough about ActionScript to comment intelligently about it, but typically a singleton instance is stored as a static variable in the class. This means that your subclass would inherit the static variable from the parent and thus the instance as well! So with that in mind, you won't be able to make an insta-singleton.
However, one thing you can do is make a Singleton interface, if all of your singletons need a common set of functionality such as destructors for a clean unload, etc. Any other hacks to make this work (I can think of a few) - I'm not sure it would be ethical for me to tell you because Singletons are better used sparsely (IMHO).