In 2002, Q Magazine ranked "Sing It Back" at number 905 in their list of the "1001 Best Songs Ever" [10] and in 2004, the magazine featured it in their "The 1010 Songs You Must Own". They started touring as a full band along with percussionist Paul Slowly, keyboardist Eddie Stevens, and guitarist Dave Cooke. Since the band's disbandment, Murphy has performed several Moloko songs on her solo tours and live performances. German magazine Musikexpress listed the song as number 449 in their ranking of the "700 Best Songs of All-Time" in 2014.

In 2012 Andy Caldwell and Michael Teixeira collaborated on a cover, featuring vocals by Lisa Donnelly. Moloko were not satisfied with the Terry mix and had to convince their label Echo Records to put out the Dlugosch version instead. Their third album Things to Make and Do was released in the year 2000 [6] and reached number three in the UK Albums Chart. The group signed to Echo Records and released their single "Where Is the What If the What Is in Why?

It features Moloko vocalist Róisín Murphy dancing alone in a metallic flapper dress, accompanied by psychedelic lighting effects. On 22 May 2006, the band announced their greatest hits album Catalogue, including the unreleased track "Bankrupt Emotionally", released on 17 July.

A Stevie Chick from NME wrote, " Róisín Murphy, it must be said, has a remarkable voice, a chalky, skewed howl which can twist into a purr, a cry or a sexy growl.In her review of the I Am Not a Doctor album, Heather Phares from AllMusic described it as a " techno torch song". with Jools Holland, and performed a version where Murphy finished head-first inside Brydon's Hammond organ.