Their debut album was released in 2005, titled United Paper People.

It peaked at number 15 on the ARIA Albums Chart and featured three singles which entered the top 50 of the ARIA Singles Chart.

In 2007, Kisschasy released their second studio album, titled Hymns for the Nonbeliever.

It peaked at number five on the ARIA Albums Chart and featured their most successful single to date, "Opinions Won't Keep You Warm at Night", which peaked at number 10 on the ARIA Singles Chart.

The band released a compilation album in 2008, Too B or Not Too B, featuring their previous music videos as well as their first two EPs, Darkside / Stay Awake and Cara Sposa.