I visited the following countries over the past 5 years and was not turned down for Global Entry:
Cote d'Ivoire
Senegal
Mali
Togo
Benin
Nigeria
Ghana
DR Congo
Central African Republic
Chad
Cameroon
Rwanda
Kenya
Burundi
Dubai
Jordan
Tunisia
Morocco
Lebanon
India
I did not include European and South American countries which may be viewed as less "controversial".