Hits Greatest Stiffs is a various artists compilation album, drawn from ten of the first eleven Stiff Records singles, BUY 1 to BUY 11.

The other sides of the Motörhead and Elvis Costello tracks had appeared on the previous compilation album, A Bunch of Stiff Records.

The inner sleeve included pictures of numerous artists, such as Abba and Tom Petty, who appeared on other labels.

Although some thought this was some form of slight, they were shown because Stiff admired them, despite their being on other labels.

However, it featured some of the most influential recording artists of the new wave era.