Many of the birds we enjoy spend a large portion of their lives in Central or South America, where the beans for much of the coffee we drink are also grown. Most coffee plantations are in areas that were clear-cut from the rainforest. Buying certified shade-grown coffee, although more expensive, can help alleviate this problem. There is a somewhat bewildering array of labels and certifications found on coffee packages.
This article from Cornell provides some clarity. The Smithsonian Institute's
Bird Friendly certification has the most stringent requirements, and is also the most difficult to find.
This web page at the Smithsonian Institute can help find a source for coffee certified to their standard.
Birds & Beans Coffee is one brand of SI
Bird Friendly coffee that the webmaster feels comfortable recommending.