How to list all the form IDs
Creating a registry of all form IDs on a site is, in general, impossible because you can create dynamic form IDs by using hook_forms. If you want to add an identical button to, say, every image in a gallery you might actually want to do that.

function example_forms($form_id, $args) {
  $forms = array();
  if (!empty($args) &amp;&amp; is_object($args[0]) &amp;&amp; isset($args[0]-&gt;nid) &amp;&amp; $form_id == 'example_myform_' . $args[0]-&gt;nid) {
    $forms[$form_id]['callback'] = 'example_myform';
  }
  return $forms;
}


now you can call drupal_get_form('example_myform_' . $node-&gt;nid, $node) without a problem for any node and have as many form IDs as nodes. I find this easier than putting the gallery inside a form (say, it's generated by Views...) and generating a different-named button with a button-level #submit handler. 

Anyways, I am sure there are other problems making it necessary to have an arbitrary number of form IDs.