Graham's first professional play, Albert's Boy, was produced by the
Finborough Theatre in west London, where Graham became playwright-in-residence. His first major play This House was commissioned by the
Royal National Theatre, where it was critically and commercially acclaimed, transferred to the larger Olivier Theatre, and was nominated for the
Olivier Award for Best New Play. This House was revived in 2016 and ran for two years, first in the West End and then on a national tour.[citation needed]
He wrote the book for the Broadway musical Finding Neverland, and two of his own plays, Privacy and Ink (for which he received his first
Tony Award nomination), transferred to Broadway.[citation needed]
In 2022, it was announced that Graham had written the book for a new musical about the life of televangelist
Tammy Faye Messner, with
Elton John and
Jake Shears writing the music. Tammy Faye opened at the
Almeida Theatre in October 2022, and was nominated for four
Olivier Awards, winning two.[3] Tammy Faye will transfer to Broadway in October 2024. [4]
In 2023 he wrote Dear England for the National Theatre, starring
Joseph Fiennes, a portrait of England footballer and team manager
Gareth Southgate.[5] Dear England transferred to the West End, and in 2024, the BBC announced they had commissioned Graham to adapt the play into a TV drama series.[6]
In 2018 Graham won his first Olivier Award, for Labour of Love as Best New Comedy (his other play Ink was nominated for an Olivier in the same year).[8]
He won his second Olivier Award in 2024, for Dear England, as Best Play.[9]
Town Planning in the Apocalypse (2023) (short play written for the
National Youth Theatre, performed in February 2023 as part of an all-night showcase of NYT students at the
Duke of York's Theatre)