Stewart produced or co-produced all of Eurythmics' albums and, once the band became established, he also became a producer of other artists. In 1985, as well as producing Eurythmics' hit album "Be Yourself Tonight", Stewart co-produced the album "Southern Accents" for Tom Petty and the Heartbreakers, as well as co-writing several songs for the album including the hit "Don't Come Around Here No More". The same year, Stewart also produced the debut solo album by Feargal Sharkey, which included the UK number one hit "A Good Heart". Due to these accomplishments, Stewart won "Best Producer" at the 1986 BRIT Awards in London.