This was followed by The Blue Door, their third performance at the Barbican Centre in London, which featured large-scale video projections and two scaffold-tower installations draped in gauze, with a band augmented by sopranos, brass, percussion and special guests. In May 2020 during the Covid-19 epidemic, TNP produced two Jigsaw puzzles in collaboration with Harley Weir. All profits from the project were donated to the National Health Service. Once completed, the puzzles displayed codewords which led to a download of a new 4-track EP. "TNPS" worked with designer Hedi Slimane and recorded the song "Navigate, Navigate" for the "Dior Homme Hiver 2007" show. Both the music and the collection received positive reviews. The band members also took part in an art/dance performance at the Palais de Tokyo in Paris for the after-show of the Stage of the Art. In 2013 Jack Barnett contributed to the Current 93 album "" alongside Nick Cave and Anohni. The next year, TNP soundtracked the first authorised theatrical production of Aldous Huxley's novel "Brave New World". In 2017 they were commissioned to write a piece to mark the 70th anniversary of Indian independence from the British Empire. These New Puritans have contributed songs to the following CD compilations: