Graham has a string of acclaimed and award-winning hits to his name including This House, detailing the parliamentary stalemate of the mid-1970s, Dear England, about Gareth Southgate’s transformation of the England football team, and Punch, centring on a man who was jailed after killing with a single punch. He’s also written a number television dramas such as Brexit: The Uncivil War and Quiz, adapted from his play of the same name. He serves as a trustee of the National Theatre, which has staged several of his works, and was named number one in the 2025 edition of The Stage 100.