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The trick is that the image file will be separate from the flash movie, and the list will be generated from a database.
Is this something that would be possible to do with flash?
A little easier than the database idea may be to use a text file with a list of variable, each with a value of the path to the link. You can then use the variables to call the images in your flash movie.
HTH
Now I'm off to the book store to start learning about flash! (I've always hated it, but maybe just this once it will be a good idea)