In 2008 Finch was executive producer on Battle for Haditha, a dramatisation of the Haditha massacre of 2005, in which 24 unarmed Iraqi men, women and children were killed by United States Marines. The film was directed by Nick Broomfield and aired on Channel 4. It was awarded the Grierson Award for Best Drama Documentary. In 2014, Finch was executive producer on Broomfield's Tales of the Grim Sleeper, which was shortlisted for the Academy Award for Best Documentary Feature. He was also executive producer on Broomfield's 2017 documentary Whitney: Can I Be Me. Finch was also executive producer on the 2017 documentary Love, Cecil, a portrait of the photographer Cecil Beaton, directed by Lisa Immordino Vreeland.
