State property is nice - I've recently been using it for the first few times. It does not hold a candle to Mining Corp / Sushi or Jewlers / Sushi / Creative Constructions on Free Market though. If one has a huge empire and is worried about cost, spread Jewlers first to your filler cities, if you can. Then send CC to your powerhouse production cities and sushi to your cities in need of food. So I guess my take on State Property is it is good for it's time, probably the best, but ideally would get replaced by corps.
Back when I played on noble and had automated cottage economies, I also ran environmentalism. I think the corporation costs are not the end of the world - as you can still have huge cottage cities. Goes well with US. Although, I'm half guessing - I haven't tried this since playing Monarch.
Beuracracy + Representation is great if you have some settled specialists. Throw in the great library and things get silly good.
I like to run Caste System after I've whipped graneries, forges, coutrhouses, barracks, sometimes libraries or lighthouses. Sometimes I wait until after guilds. The +1 to workshop I find the best part, not the unlimited artist, merchant, scientist. I usually take the lead on the production graph this way. I should mention that while I do understand the fundementals of whipping, I don't have it figured out inside out the way some people do.
I usually don't run mercantilism unless I'm playing a spirtual leader. It comes too close to Free Market, and doesn't capitalize (literally) on all the $ astronomy brings in, which is also close.
I really like it when I discover feudalism as a SPI leader. Pump out double protective longbowmen for a few turns, then go Beuracracy.
I'm settling great people more than I used to. If I'm playing culture, settle a great artist early in the weakest of the three cities. Settle a merchant in your shrine city (priests are actually probably better 1 less coin, 1 less food but plus 2 hammers than a merchant, I have four settled in my current game, helps get Wall Street put up quicker- which is huge.) And of course scientists in my academy / future oxfod city. Representation with settled specialists is huge. I don't mess with US anymore. I tried it for a turn (post Christo redeemer). The modest production bonus was not worth the hit I took in science.
I love organized religion too. I love SPI leaders because if it works out diplomatically, I love putting up quick unis and factories with it. I've rocked University of Sankore, Apostic Pallace, and Sistine Chapel with this - it is great - even better with SPI leaders. Gets new or conquered cities up and running and useful fast.
I don't rock theorcracy. I like OR and FR too much. For culture wins I want all sorts of religions to spread in my land. Besides the military benefits, I could see it being useful though - if a hostile AI had the AP and you didn't want to be pulled into their diplomatic nonsense.
While it has been rare, nationalism has helped me out of jams that nothing else could have. A SPI leader with some sort of militaristic trait, CHA, PRO or AGG - if I have riflemen I pretty much don't have to worry about anybody. I've neglected military and made it out (by the seat of my pants) in 2 or 3 games like this.
HR when I can get it. Unless I build pyramids, then Representation. If no pyramids, I'll move on to representation later.
Vassalge maybe, for a limited time. Then Beuracracy, and finally Free Speech if I'm going for culture or have tight borders. Free Speech + corps + eifil tower = have fun trying to surprise my border cities and losing your cities land and resources.
Slavery to whip out some basic buildings, then CS to make the lands with plains but no mountains productive. Then Emancipation when over half of the AIs have it (I usually give in when I'm at war.)
Free Market, then State property, then back to free market when / if I have the right great person to find the right corp.
Organized Religion unless the tech race gets competitive or the map is hairy religiously / politically, then FR. I played a game as Breneus where the pangea continent was divided pretty evenly between Hinduism and Budhism. I had random personalities and I couldn't tell who i was going to get along with and who I wasn't, so I built Shezwan Papaya (I know that's not what it's called, sorry for being an insensitive lazy slob). The science bonus was nice, but what was really nice is everyone hating each other but not hating me. For the same reasons, I usually eventually run Free Religion anyways, to get ahead in techs and also to make some allies on the other side of the world.
Sometimes Pacifism - like if I'm Fredrick and have five engineers in my great person farm and just can't wait for Mining Co.
So yeah, this is how I roll. It fits my playing style (which isn't good for all civs, i.e. Spain, Aztecs, others.) It all depends. You can tell from my prefered civics what type of player I am (builder who doesn't tend to kick ass militarily early, although sometimes I do.)
I have gained more insight into how to leverage different civs and different playing styles on this forum listening to how people use different civivs than anything else.
Some people really have this stuff figured out better than me, or at least utilize civics in a powerful, different way, and I really respect it. It's stuff I never really thought of and still haven't mastered or even attempted to even though now I understand the basic idea. I'm thinking of those who truely master slavery or nationalism where food = power and others who rock vassalage / theocracy to raze hell.