Film scores
In 2018, Curzon Cinemas/British Film Institute (BFI) commissioned Blumberg to compose the music to launch their Agnès Varda film season Gleaning Truths, which was announced in July 2018 and went on to tour the UK.
In 2019, GUO collaborated with British director Peter Strickland who created a short film entitled GUO4, to coincide with the release of the record on Mute which premiered at 76th Venice International Film Festival in August 2019. It debuted in the UK at the 63rd BFI London Film Festival in October 2019.
In October 2019, GUO collaborated with American film director Brady Corbet on a short film and performance entitled GYUTO which premiered at London's Close-Up Film Centre.
In July 2020, it was announced that Mona Fastvold's film The World to Come — starring Vanessa Kirby, Katherine Waterson, Casey Affleck and Christopher Abbott — would premiere in competition at the 77th Venice Film Festival, for which Blumberg composed the original score. Avant-garde musicians including Peter Brötzmann, Josephine Foster and Steve Noble feature on the score, which is produced by Peter Walsh. Following the premiere, The Observer described Blumberg's work as 'superbly original'. IndieWire voted it their Number 1 film score of 2021, writing that "in no film this year was a score more crucial to the flow and texture of a story... Blumberg's first movie score so beautifully crystallizes the ache of first love by listening for the stir of echoes that it leaves behind". Mute released the score on limited edition vinyl and CD on 14 January 2022, featuring two extended solo improvisations by Peter Brötzmann as physical edition exclusives. In May 2022, Blumberg won his first Ivor Novello Award for Best Original Film Score for The World To Come.
Blumberg composed the score to Brady Corbet's 2024 film The Brutalist, which stars Adrien Brody as the Hungarian Jewish architect László Tóth who survives the Holocaust and constructs a new life in America. The Hollywood Reporter dubbed it a "mighty score", which Vogue wrote "swerves elegantly from tinkling jazz horns and piano to bellowing, cinema-shaking blasts of brass and drums that evoke the tumult of Tóth's inner world". The score plays a particularly prominent role in the film, being described by the Financial Times as "imposing" and by Sight and Sound "muscular and boisterous". The film is dedicated to the memory of Scott Walker, who scored Corbet's previous films. The Hollywood Reporter wrote, "Blumberg's stirring work honors him [Walker] with subtle echoes, also evoking comparison at times with the jagged edges of Mica Levi or the solemn grandeur of Terence Blanchard.". His score has since also been seen as one of the best scores of 2024, receiving a variety of accolades, including a BAFTA Award as well as the Academy Award for Best Original Score.
In 2025, Blumberg produced the score for Mona Fastvold's musical film The Testament of Ann Lee and Gianfranco Rosi's Below the Clouds, the latter marked his first documentary score.