I know nkotb has more cred than allmusic, but I'll add almusic's five star (out of five) review of their debut to the argument:
There are hints of girl group pop and more than a hint of the Rolling Stones, but The New York Dolls doesn't really sound like anything that came before it. It's hard rock with a self-conscious wit, a celebration of camp and kitsch that retains a menacing, malevolent edge. The New York Dolls play as if they can barely keep the music from falling apart and David Johansen sings and screams like a man possessed. The New York Dolls is a noisy, reckless album that rocks and rolls with a vengeance. The Dolls rework old Chuck Berry and Stones riffs, playing them with a sloppy, violent glee. "Personality Crisis," "Looking for a Kiss," and "Trash" strut with confidence, while "Vietnamese Baby" and "Frankenstein" sound otherworldly, working the same frightening drone over and over again. The New York Dolls is the definitive proto-punk album, even more than anything the Stooges released. It plunders history while celebrating it, creating a sleazy urban mythology along the way.
