"A Hard Night's Day" is my favorite New York Dolls album. The first two official Dolls albums issued by Mercury Records are excellent, but these series of demos they did in 1973, are essential listening experience. Their mixture of classic rock n' roll, 60's girl groups, and blues, with incredible and insightful lyrics, is a combination that never fails me.
At the time of their recording these demos, they did every song that they knew at that point. They are just important as the Velvet Underground, in that they tied in many important communities into one package. The demos are beautifully recorded, and the performances are lively, precise (in that Dolls' manner of preciseness), and inspirational.