Back when Tim Curry was a kind-of in demand recording artist, he made two albums of original material–and then released a “Greatest Hits” album. I think Julie Brown did something similar, except all three of her albums had mostly the same six songs on them (One was her first album, the second was a movie soundtrack, and the third was “Greatest Hits.”) I think “Greatest Hits” albums are a contractual requirement after X number of years without new material, but I could be mistaken. Anyway, are there any examples of an artist whose second album was actually called “Greatest Hits”?
Smash Hits by the Jimi Hendrix Experience was released after two studio albums, in the UK. In the US it was after the third album.
Mass Slaughter: The Best of Slaughter was released after their second album.
Incidently, while looking up some bands I discovered that trivia that the first Greatest Hits album was Johnny’s Greatest Hits by Johnny Mathis, released in 1958.