The list of countries above is the list of countries covered in the report, not a list of the countries that have birthright citizenship. If you go to the website, and click the link to download the .PDF, you will find the following map (only the pink countries have unconditional birthright citizenship):

Following the map, there is a table that lists which countries do and do not have unconditional birthright citizenship at birth. Here's the list above, with the countries that have unconditional birthright citizenship:
Albania, Angola, Angulla, Antigua & Barbuda, Argentina, Australia, Bahamas, Barbados, Belgium, Belize, Benin, Bermuda, Bolivia, Brazil, British Indian Ocean Territory, British Virgin Islands, Burkina Faso, Cambodia, Cameroon, Canada, Cape Verde, Central African Republic, Channel Islands (Guernsey, Jersey, Isle of Man), Chile, Colombia, Comoros, Democratic Republic of the Congo, Costa Rica, Côte d'Ivoire, Cuba, Dominica, Ecuador, El Salvador, Falkland Islands, Fiji, Finland, France, Gabon, Germany, Gibraltar, Grenada, Guatemala, Guinea, Guyana, Honduras, India, Indonesia, Iraq, Ireland, Israel, Jamaica, Kosovo, Lesotho, Liberia, Luxembourg, Malaysia, Mali, Malta, Mexico, Monaco, Montserrat, Namibia, Nepal, Netherlands, New Zealand, Nicaragua, Niger, Pakistan, Panama, Paraguay, Peru, Portugal, Rwanda, Saint Helena, Saint Kitts and Nevis, Saint Lucia, Saint Vincent & the Grenadines, Samoa, São Tomé e Principe, Senegal, Singapore, South Africa, Spain, Tanzania, Thailand, Timor Leste, Togo, Trinidad & Tobago, Turks & Caicos, United Kingdom, United States, Uruguay, Venezuela, Yemen
I would note: not a single European country.