Then I’d like to claim that USA counts as a European country. It was founded by Europeans and has a supermajority of Europeans that are just called “White”. So if USA is included in this list too then Japan would be included too due to occupation after WWII, and all of Korea during some stages of the Korean war when the communists were pushed to their furthest northern point of the war. Then Liberia, although it’s always been a majority black country and has only (from what I know) only black presidents, was created ultimately by an American of European descent, but I understand if someone thinks I’m stretching to qualification of Liberia too far.

Basically from my criteria that leaves only Saudi Arabia, Yemen, Thailand and China the only countries in the world that have never been controlled by Europeans.