The faviconz API gives you access to a database of favicons. They collect, store and share them so you can easily use them.
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There are no source code libraries or how-to links for Faviconz. If you know one why not add it?
Bah! it's paid, you just get 2500 calls over a single API key. And didn't get the point of having a paid service for it. If you can mention the url of a website for API then why can't you get the favicon from the website itself.