I don't know how obscure they are, but the band Naked City made quite an obscure album called Leng Tch'e (not the band called something similar) that I simply love. I wouldn't call it easy listening, but there's just something about it that hits the spot for me. I can recommend Naked City in general if you're down for some jazz-grindcore-surfer-metal. Yeah, they don't really fit into any one genre, or any five even.