What type of CS do you value the most?

Cultural > Maritime > Mercantile > Militaristic > Religious

This.

Cultural CSs are the best way to get extra social policies especially early game where all you have for culture are monuments, amphitheaters, etc. Martime is always good for more citizens. Mercantile is either the top or bottom priority depending on my current happiness levels, so the average is right in the middle. Militaristic can be useful but are hardly game changing. Religious is most useful very early in the game for a pantheon/religion but aren't necessary otherwise.
 
Early game: cultural and religious

Middle game: mercantile, commerce, and military

Note: on high difficulties and if you lose stonehenge, religious CS's can end up the only way to get one of the religions if you care about that.
 
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