The current list is:
Afghanistan, Albania, Algeria, Andorra, Antigua and Barbuda, Argentina, Armenia, Australia, Austria, Azerbaijan, Bahamas, Bahrain, Bangladesh, Barbados, Belarus, Belgium, Bolivia, Bosnia and Herzegovina, Botswana, Brazil, Brunei Darussalam, Bulgaria, Cameroon, Canada, Cape Verde, Central African Rep., Chile, China (People's Rep.), Chinese Taipei, Comoros, Congo, Congo (Dem. Rep.), Colombia, Costa Rica, Cote d'Ivoire, Croatia, Cuba, Cyprus, Czechia, Denmark, Djibouti, Dominica, Dominican Rep., Ecuador, Egypt, El Salvador, Equatorial Guinea, Estonia, Eswatini, Finland, France, Gabon, Georgia, Germany, Ghana, Greece, Grenada, Guatemala, Guinea, Guinea-Bissau, Guyana, Haiti, Honduras, Hong Kong (SAR China), Hungary, Iceland, India, Indonesia, Iran, Iraq, Ireland (Rep.), Israel, Italy, Jamaica, Kazakhstan, Kenya, Korea (Rep.), Kosovo (Rep.), Kuwait, Kyrgyzstan, Latvia, Lebanon, Liberia, Libya, Liechtenstein, Lithuania, Luxembourg, Madagascar, Macao (SAR China), Malaysia, Maldives, Malta, Mauritania, Mauritius, Mexico, Moldova (Rep.), Monaco, Montenegro, Morocco, Namibia, Nepal, Netherlands, New Zealand, Nicaragua, North Macedonia (Rep.), Norway, Oman, Pakistan, Palestinian Territory, Panama, Paraguay, Peru, Philippines, Poland, Portugal, Qatar, Romania, Russian Fed., San Marino, Sao Tome and Principe, Saudi Arabia, Senegal, Serbia, Sierra Leone, Singapore, Slovakia, Slovenia, Somalia, South Africa, Spain, St. Kitts and Nevis, St. Vincent and the Grenadines, Sudan, Suriname, Sweden, Switzerland, Tajikistan, Thailand, Turkey, Uruguay, USA, Ukraine, United Arab Emirates, United Kingdom, Uzbekistan, Vatican City (Holy See), Venezauela or Viet Nam.
That's 147 countries, which means ~50 countries aren't not in this list, e.g. Seychelles, Tanzania or Tuvalu. But getting a visa or a direct flight might not be straightforward.
Update 2021-05-19: Regarding Moo'sMoo's answer and comments implying that Japan authorities meant to list all countries and simply mistakenly omitted some countries ("I really don't think they put that much thought into it - the list sounds ... odd"), I don't think sothat is incorrect, e.g. read https://www.japantimes.co.jp/news/2021/05/20/national/thailand-travel-ban/ (mirror): it clearly says that some countries such as Sri Lanka and the Seychelles were allowed, until now. One can also see on https://www.iatatravelcentre.com/world.php -> Japan that the list of countries is been updated, e.g. Thailand is currently not on it (but it used to be on it on 2020-08-0203, and will but soon be on it again due to Thailand's 3rd COVID-19 wave).