A script that removes all Facebook apps.

remove-facebook-apps.js

// Steps:
//   1. Visit https://www.facebook.com/settings?tab=applications.
//   2. Click "Show All Apps".
//   3. Open Console and paste the following code.

var INTERVAL = 1500;

function click_first_x() {
  document.querySelectorAll('[title="Remove"]')[0].click();

  setTimeout(check_and_remove, INTERVAL);
}

function check_and_remove() {
  document.querySelectorAll('[name="delete_app_actions"]')[0].click();
  document.querySelectorAll('[value="Remove"]')[0].click();

  setTimeout(click_first_x, INTERVAL);
}

click_first_x();