I won my first culture victory on Noble. I am no expert, but the way I won was as follows:
* Build high-culture wonders, early wonders (since culture will double after 1000 years), and wonders that produce Great Artists as a priority. Other wonders are nice but not as necessary. Pyramids are great. The one that allows all religious civics is also great...I think it's Schwedagon Paya or something like that. Apostolic Palace is also nice -- you probably founded a few religions, and the AP matching one of your religions (meaning you are a full member) will give you a bonus per turn. This isn't as important as, say, Sistine Chapel, but it is still a good one to seek as a 2nd-tier wonder.
* Try to found at least 3 religions, and establish at least 9 cities (not all of them have to be good). I think I did it with 4 religions (2 that I founded, 2 that spread to me) and 7 cities, but it would have been faster with 9 cities.
* For detonating Great Artist culture bombs or Great Artists settling in your city, or for Culture-boosting wonders/buildings (hermitage, cathedrals): When deciding which of your 3 cultural cities to settle in, settle/build in the city that produces the fewest culture points PER TURN. This is not necessarily the city that currently has the fewest culture points.
* Prioritize Drama. Music (I think) gives a free GA to the first person to research it, and is also important. Aesthetics is also very nice.
* Get Cathedrals early. Build temples in all your cities for all your religions. With 9 cities, you can build 1 cathedral per religion in each of your 3 culture cities. Each cathedral requires 3 temples for that religion. Cathedrals boost culture by a percentage (50%? Maybe it was 25%... I don't recall. It is very useful though!)
* Set the culture slider at a small percentage early (such as 10%) to provide a long-term boost to culture. Up the culture slider gradually as you feel comfortable, then to 100% for your final push.
* When your cities (any of them, but especially one of the big 3) get to a decent size and can afford to in both food and hammers, create Artist specialists. The more Great Artists, the merrier! This is most beneficial if the city is one of the big 3, since you reap direct benefits from the specialist, but it also helps produce GA's in any city that you have an Artist specialist in, so don't limit your Artist specialists to only your big 3 if other cities can afford to have Artist specialists as well.
* Don't forget about protection! You will be a prime target if you ignore your military. At least 2 of your cities that are not a part of the big 3 should be military production cities. Along these lines, allowing drafting is also very important. In my game, being able to draft meant the difference from having one of my big 3 culture cities captured in an AI attack and being able to withstand the invasion.
There are tips that I probably missed in the War Academy.
Sam