This is how I would go about rating the civs for single player deity.
Tier 1 - bonuses are consistent and game changing
Babylon, England, Inca, Korea, Persia, Poland
Tier 2 - bonuses are consistent and strong or situational and game changing
Arabia, Aztec, China, Egypt, Ethiopia, Huns, Maya, Russia, Shoshone, Spain, Zulu
Tier 3 - bonuses are consistent and mediocre or situational and strong
America, Austria, Celts, Greece, India, Indonesia, Mongolia, Rome, Siam
Tier 4 - bonuses are consistent but weak or situational and mediocre
Assyria, Brazil, Byzantium, Denmark, Germany, Morocco, Netherlands, Polynesia, Portugal, Songhai, Sweden
Tier 5 - bonuses are inconsequential or situational and weak
Carthage, France, Iroquois, Japan, Ottomans, Venice