I know everyone has heard of that incredibly expensive coffee known colloquially as "cat poop coffee" (or sometimes as "crappuccino" LOL). In the rainforests of south-east Asia, wild civet cats eat a certain kind of coffee bean fruit, digest the fruit and then poop out the undigested coffee beans. This natural "processing" results in delicious coffee, apparently, once the beans are washed and roasted. A pound of this rare coffee can cost hundreds of dollars. It must be worth it, though -- the coffee company's logo says that it's "good to the last dropping!"
Recently, civet cat coffee was declared halal (religiously approved) for Muslims to drink, so long as the beans were thoroughly washed. This is a good thing since probably only oil sheiks can afford to buy this coffee on a regular basis.
However, it does not appear that civet cat coffee is kosher (religiously approved) for Jews to drink. Since Jewish dietary laws prohibit consumption of a certain flavour-enhancer additive derived from the glands of civet cats, it seems doubtful that coffee processed by the same animal would be given the green light.
For the rest of us, the only restrictions on consumption are our wallets, our taste buds and our sense of adventure!