Mullins played drums in Iggy Pop's band from 1990 to 1999, recording three albums and additional works created specifically for films. In 2011, he joined Iggy and The Stooges in England, and remained their live drummer until their final performance in 2013. Mullins joined
Swans in 1995 and continued working with Swans frontman
Michael Gira in
Angels of Light into 2003. He rejoined Swans in 2019 for the recording of their album
Leaving Meaning, and remains a member as of 2026. Mullins's percussion work appeared throughout the score for
Johnny Depp's 1997 film
The Brave, where he is credited as "Lawrence Mullins." His original composition for the theme of director
Tom Tykwer's German cable series
Babylon Berlin, in which he had a screen role as big band drummer Willy Schuricke, was published as sheet music in 2020. In 2021, Mullins performed on drums for
Anna Calvi’s score for the 2022
Peaky Blinders cable series. In 2015, Mullins began performing live with Nick Cave and the Bad Seeds as keyboardist, and continued performing with them during their world tour for the album
Skeleton Tree. The tour for the album was documented in the film
Distant Sky: Live in Copenhagen. In October, 2018, he switched from playing keyboards to playing drums for the band. Mullins drummed for the
Ghosteen European tour in 2022 and
Wild God tour in 2024-26, and joined
Nick Cave and
Warren Ellis for their
Carnage tour of Australia in 2022. ==Works (selected) ==