Here we publish a list of the official Renju and Gomoku World Championships (full-time and distance).
Renju

Individual world championships
Full-time http://renju.in/chempionaty/chempionaty-mira-po-rendzyu/
Correspondence http://renju.in/chempionaty/zaochnye-chempionaty-mira-po-rendzyu-2/

World Team Championships

http://renju.in/chempionaty/komandnye-chempionaty-mira-po-rendzyu/

Gomoku

Individual world championships
Face-to-face http://renju.in/chempionaty/lichnye-chempionaty-mira-po-gomoku/

Correspondence – coming soon

World Team Championships

http://renju.in/raznoe/komandnye-chempionaty-mira-po-gomoku-2/

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Sources:

https://en.wikipedia.org/wiki/%D0%A0%D1%8D%D0%BD%D0%B4%D0%B7%D1%8E

https://ru.wikipedia.org/wiki/%D0%93%D0%BE%D0%BC%D0%BE%D0%BA%D1%83