I'd like to hear from the big culture people...who do you build it up?
This is what works on Large and Huge maps.
First, expand as quickly as possible, to claim as many cities as you can, just put 2 warriors or spearman in each city, so you at least have a mediocre defense in all cities. Note: the AI judges your military size by pure numbers, not the strength of them, so you could maybe get by with just building warriors in between building of the settlers, just to build up the number of military units you have. Eventually, though you want 2 spearman in at least your border cities. You can just use the warriors as military police in your interior cities temporarily (but watch out for ROP abusers, "sneak attacks!"). Eventually get spearman in the interior cities as well. So if you want to just build up the number of units, build warriors (cheap), but for more longer-lasting units, spearman (upgradable throughout the game).
Temples in every city is good. But you need alot more culture than this. For a quick culture win, a dense build will help ALOT, by getting you more cities. You don't really need them built super-dense, unless you're playing a tiny or small map. Build temples AND libraries in all cities. Universities, cathedrals and colleseums also help, but probably only practical in your big cities that can build it themselves. Later on, if you have lots of money to spare and have enough military units, you can start rush-buying the extra culture improvements in those high-corrupt cities. Wonders do help, but if you have 100+ cities, the wonders don't help a whole lot. Get them if you can, but not a major loss if you can't get them. Having more than 1 city building different wonders at the same time, and using the 'pre-build palace' trick will help you get all or most of the wonders. I usually use the domestic advisor, and if you click on the shields produced column it ranks all your cities. The most productive city will be my wonder building city(ies).
In all those 1-shield, high-corrupt towns, if you are a religious civ rush temples. If you are scientific, rush the libraries. If you are Babylon, rush both. You want as many culture buildings as possible while you are still in the B.C.'s. Once a culture building is more than 1000 years old, the culture doubles. So if you had 50 cities all with temples before 10 A.D., by 1000 A.D. you would have 200 culture points/turn just in temples! With Libraries, those 50 cities would get you 300 cp/turn, both would be 500cp/turn!
The big cities you have close to your capital should be productive enough to quickly build those culture improvements and start making more military units to help defend your border cities. They might also have time to build marketplaces and banks to help you get more money to rush-buy culture improvements in all those corrupt cities.
For the one city culture win (20,000 culture points) you would want to build as many wonders in one city. You may not get all of the wonders if you're trying to put them all in one city, since there are usually several wonders able to be built at the same time. The one city culture win would be easier on the smaller maps. On huge maps, a culture win is most often by the entire civ culture (100,000 cp).