In 2001 Armstrong received BAFTA, Golden Globe, and American Film Institute Award, as well as World Soundtrack Award and a Golden Satellite Award for Moulin Rouge!. In 2002 he wrote the meditative piece Visconti, commissioned by Barbican Centre Elektronika festival for the London Sinfonietta. In 2004 Armstrong collaborated with visual artists Dalziel + Scullion on One Minute to celebrate the opening of Perth's Horsecross Hall. In 2005 he received a Grammy Award for Best Score Soundtrack album for the film Ray, directed by Taylor Hackford. In 2008 his first classical release, Memory Takes My Hand, featuring a violin concerto for Clio Gould, was released on EMI Classics. Armstrong has had many collaborations including recording and performing the album Dolls with the Berlin laptop Artist AGF and Vladislav Delay. He has worked with a wide variety of more well-known musical artists, including U2, Madonna, Texas, Luciano Pavarotti.