Government
Hereditary rule is good for most of the early game, especially when you warmonger alot. I rarely use
Police State for war since i don't prioritize that tech very much and i get by with using peaceful civics late game wars.
(if you get a war you know is gonna last a long time, switch to Police state fast, with short wars it's not that important)
Representation is only good when you do a lot of Specialists and from the pyramids early game(lots of happiness to the largest cities). Use this when you plan to have long times of peace

(not gonna happen!War!War!

)
Do
Universal Suffrage if you got lots of towns(+1

gives even commerce cities decent production), and you are out of slavery and need to rush buy stuff/units. Very useful civic, you will mostly be using this late game.
Legal
Bureaucracy as soon as possible, switch to
Free speech later if you get some good towns(from cottages) going later on. (i usually switch to emancipation the same time)
Vassalage is useful for war, but i feel it's not worth it most of the time since the penalty for switching out of
Bureaucracy is too heavy.
Nationhood is very good with a high food globe city. Draft like mad

. Though i don't use it very often since the economic disadvantage gets too much. (Bureaucracy / Free Speech both gives
very good economic advantages, same point as why i don't use vassalage very much)
Labor
Slavery-
Emancipation. Rarely use other civics than these.
Emancipation is the civic choice who have the most effect on your Cottage Economy (faster towns! lots $$).
Slavery 
! This is straightforward, abuse your population! Get military! Get buildings! One of the most important civics early game.(just don't use it too much... they tend to hate you a lot after a while

)
Caste system sometimes if the circumstances are right(Philosophical Civ etc),
Serfdom sucks never used it ever.
Economy
Free Market/
Mercantilism, depends on my relations to other AI's.. sometimes they tend to not like me so Free market is a waste.
Representation and
Mercantilism is a good combo, so use it if you are using Representation and aim for Statue of Liberty too for some awesome free research from every city you have.
State property is supposed to be good, but my games tend to be over when i get to that point so i haven't used it a lot.
I have no idea why anyone wants
Environmentalism, it sucks and it comes late so don't bother with it.
Religion
Religious civics? I end up with
no religion in most of my games. (Diplomatic penalties can be suicide at high levels) so it's
no State Religion -> Then
Free Religion. If you got one it's easy,
Pacifism to get great people,
Organized Religion to build infrastructure/wonders, and
Theocracy for prepping war/fighting war.