Ethiopia
Yes.
Yes, before independence, it was Northern Rhodesia.
There were a great many countries that never were under British control. There were even more that were not a British colony before they were declared independent. On the great continent of Africa there is only one. That would be Ethiopia.
Not all of Africa was colonized by the British. There were French, Belgian, Portuguese and Spanish colonies, too.
Nigeria.
The South American country of Guyana was British Guiana prior to its independence.
Haiti is an independent country and is therefore not currently ruled by either China or France. Prior to their independence Haiti was a colony of France, but that is no longer the case.
The British established the Kenya Colony.
It's a country, The Kingdom of Bahrain and is an island. Manama is the capital.
Only one country controlled the area of the Mandate for Palestine prior to Israeli Independence: the British Empire.
Papua New Guinea
The United Kingdom and Egypt.