Members of the International Go Federation.
Information sourced from the IGS site in 2021.
Note that the IGF pages have links to the association / federation websites (though not in all cases).
Take note also that although this page is aliased as List of Associations and List of Federations, it's not a list of all Go groups that call themselves associations or federations.
The Asian countries of Armenia, Israel and Kazakhstan are all listed by the IGF as European members. Turkey and Azerbaijan are also identified as European.
The Kansai Ki-in is not affiliated to the International Go Federation. That could be due to the IGF's foundation in Tokyo and presumable links to the Nihon Ki-in, or more prosaically because the IGF might only be allowing one federation of each country to join, hence why Go Federation Russia isn't a member.
It's not clear whether the "Chinese Taipei Go Association" is a separate organisation created for international sport or just a diplomatic name for the Taiwan Qiyuan.
Argentina ( Asociación Argentina del Juego de Go / AAGO, aka Argentine Go Association)
Armenia ( Armenian Draughts and Go Federation)
Australia (Australian Go Association) ( website)
Austria ( Go Verband Österreich)
Azerbaijan ( Azerbaycan Qalaqapi Federasiyasi)
Belarus ( Belarusian Go Federation)
Belgium ( Belgische Go Federatie, aka Belgian Go Federation / BGF)
Bosnia and Herzogovina ( Go Asocijacija Bosne i Hercegovine)
Brazil ( Brasil Nihon Kiin)
Brunei (Brunei Darussalam Go Association) ( website)
Bulgaria ( Bulgarian Go Association)
Canada (Canadian Go Association / CGA) ( website)
Chile ( Federación Chilena de Go, aka Chilean Go Federation) 
China (Chinese Weiqi Association) ( website)
Chinese Taipei, ie. Taiwan ( Chinese Taipei Go Association)
Colombia ( Asociación Colombiana de Go)
Costa Rica ( Asociación Deportiva de Go de Costa Rica)
Cuba ( Federación Cubana de Go)
Croatia ( Hrvatska Igo Udruga)
Cyprus ( Kypriakos Syndesmos Go, aka Cyprus Go Association)
Czechia ( Ceska Asociace Go), aka Czech Go Association
Denmark ( Dansk Go Forbund)
Ecuador ( Asociación Ecuatoriana de GO)
Iceland ( Íslenska Gofélagiđ, aka Icelandic Go Association)
India ( Indo Amateur Go Association)
Indonesia ( Federasi Igo Indonesia)
Iran ( Baduk Assocation of I.R of Iran)
Ireland (Irish Go Association) ( website)
Israel ( Israel Go Association, on SL as Israeli Go Association)
Italy ( Federazione Italiana Giuoco Go)
Macau ( Clube De Xandrez "Wei Qi" De Macau)
Madagascar ( Madagascar Go Club, aka Madagascar Go Association)
Malaysia ( Persatuan Weiqi Malaysia, aka Malaysia Weiqi Association)
Mexico ( Asociación Mexicana de Go, aka Mexican Go Association)
Mongolia ( Mongolian Go Association)
Morocco ( Association pour la promotion du Go au Maroc)
Serbia ( Go Savez Srbije)
Singapore ( Singapore Weiqi Association)
Slovakia ( Slovenská Asociácia Go)
Slovenia ( Go Zveza Slovenije)
South Africa (South African Go Association) ( website)
Spain ( Asociacion Espanola de Go)
Sweden ( Svenska Goförbundet)
Switzerland ( Federation Suisse de Go, aka Swiss Go Association)
 The IGF list still has the old name, Asociación Chilena de Go, which was replaced in 2013.