Perhaps I'm a bit dense today, but why are you unable to link to descriptions of one or more of these better approaches? Many people would find the information useful and interesting.

Not even a Wikipedia link? This was so anti-climactic.

Wikipedia does not always have the answers :)

Sorry, I fully intended to publish a description, but it turns out at least two of them are the subject of pending patent apps that haven't been published yet, so I can't.

In any case, do note there are a wide variety of wilson variants or alternatives that may be applicable to various situations (agresti-coull, etc), as well as jeffrey's prior bayesian intervals.

http://stat.wharton.upenn.edu/~tcai/paper/Binomial-Annals.pd... is a reasonable comparison of the current common methods.

Anyway, I deleted the original comment since it doesn't add anything now.