Alecky Blythe founded verbatim-theatre company Recorded Delivery in 2003. The company's first production, Come Out Eli, premiered at the Arcola Theatre, London, and later transferred to the BAC (winner of the Time Out Award for Best Performance on the Fringe).

Other work includes: All the Right People Come Here (New Wimbledon Theatre); Strawberry Fields (The Courtyard, Hereford); Cruising (Bush Theatre, London, 2006); The Girlfriend Experience (Royal Court Theatre, London, 2008; Young Vic, London, 2009); I Only Came Here for Six Months (KVS and Les Halles, Brussels); Do We Look Like Refugees?! (National Theatre Studio / Rustaveli Theatre, Georgia, at Assembly Rooms, Edinburgh Festival Fringe, 2010; winner of Fringe First Award); London Road, with music composed by Adam Cork (National Theatre, London, 2011 and 2012; winner of Best Musical, Critics' Circle Awards); Little Revolution (Almeida Theatre, London, 2014) and Our Generation (National Theatre / Chichester Festival Theatre, 2022).

For television she has written A Man in a Box (IWC and Channel 4); The Riots: In Their Own Words (BBC2).

For film she has adapted London Road into a feature (BBC Film, BFI, National Theatre).