I don't know what article you read that said to never, ever build wonders. Building wonders is fun. Like I said, if you can build the wonders and still win wars, you should be in good shape. And besides, if you're going for cultural or wonder victories, building wonders is essential. But MAS makes a good point. It's easier to learn to balance your game by starting simple.
I'm not very good with culture, but I'll give you the best information I've got. Markets don't generate culture, but they help generate gold and happiness. Libraries generate science and culture. In fact, libraries are a pretty cheap source of culture. Not as cheap as temples, but temples don't generate science (though they do make a happy citizen content, IIUC), and temples don't generate as much culture, either. I'd say stick with markets and libraries, unless you're going to for a culture win or trying to culture flip the AIs cities. I very rarely build temples, caths and colosseums.
If the AI is generating more culture than you and this concerns you, . . . well, it's hard to generate culture when somebody keeps taking all your wonders, now isn't it? Now that doesn't solve the culture flip problem, but that's another issue.
I'm not very good with culture, but I'll give you the best information I've got. Markets don't generate culture, but they help generate gold and happiness. Libraries generate science and culture. In fact, libraries are a pretty cheap source of culture. Not as cheap as temples, but temples don't generate science (though they do make a happy citizen content, IIUC), and temples don't generate as much culture, either. I'd say stick with markets and libraries, unless you're going to for a culture win or trying to culture flip the AIs cities. I very rarely build temples, caths and colosseums.
If the AI is generating more culture than you and this concerns you, . . . well, it's hard to generate culture when somebody keeps taking all your wonders, now isn't it? Now that doesn't solve the culture flip problem, but that's another issue.