Eponymous: (of a literary work, film, etc) named after its central character or creator: The Stooges' eponymous debut album.
On this day in 1983, a young woman from Michigan who had recently given up on a career as a hard-rock singer released her first album of electronic dance-pop, an album that also happened to bear her first name as its title. Although the first two singles, "Everybody" and "Burning Up," failed to ignite much beyond the dance floors of New York discotheques, subsequent singles you may have heard once or twice in the intervening years - "Holiday," "Borderline" - fared considerably better. By 2000, the RIAA had certified Madonna triple platinum.
Pop music is awash in "eponymous" albums, so named either as an introductory calling card or because the artist is just too lazy to think of an actual title. As you can see from this Wiki page, they are legion. Not all of them are debuts; some jokers like Peter Gabriel, Weezer and Brazilian heartthrob Roberto Carlos have given their names to several albums (Carlos a good two dozen or so).
Not surprisingly, many eponymous LPs also rank among the best albums ever made. We picked out a small sampling of our favorites.