Basically my idea is this: Drop .mov's in a folder of my website and the index.html should fetch every mov and create a link, so the user just can enter the url of the bin to view the mov's. Is that possible?
Sure, it's possible with, say a php script. Pretty easy too.
And if you're using something like Wordpress or Drupal (which I would recommend), there might even be an existing plugin that already does it. Usually are plugins for whatever issue you run into.
In fact, what might even be better and cheaper on your bandwidth would be to drop them into an Amazon s3 bucket, and have the script list them from there.