Among his most known works are "Would Anybody Die (For Me)" from The Girl Who Played with Fire and the opening song "Forgiveness" from the DR series The Eagle, both of which have lyrics and vocals by his spouse, Misen Groth.
He also worked on Søren Kragh-Jacobsen's feature film debut Vil du se min smukke Navle?
Since the early 1980s, Groth also collaborated with Rumle Hammerich on several films, including Otto is a Rhino (1983), Fasadklättraren (1991), Deadly Desire (1992) and Headhunters (2009).
Groth also composed the music for the theme song for the Emmu-winning DR-TV series The Eagle and Toung Andersen.
Groth's score for Oplev's The Girl with the Dragon Tattoo was performed by Athelas Sinfonietta Copenhagen during the "préludes musicaux" in Cannes.