In 2021, The Lehman Trilogy made its Broadway transfer to great critical acclaim, and securing Godley another Tony nomination for Best Actor in a Play.

He has also had television roles as Elliott Schwartz in Breaking Bad (2008–2013), Nigel Nesbitt in Suits (2013), Phinneus Pogo in The Umbrella Academy (2019–2024), and Archie the Archbishop in The Great (2020–2023).

[2] His childhood career also included work at the National Theatre, in Lillian Helman's Watch on the Rhine, and Close of Play, directed by Harold Pinter.

[5] He spent one season as a member of the Royal Shakespeare Company, before creating the role of Cliff in Sam Mendes's production of Cabaret at the Donmar Warehouse in 1993.

In 2002 he starred as Victor Prynne alongside Alan Rickman and Lindsay Duncan in a revival of Noël Coward's Private Lives at the Richard Rogers Theatre in New York City, where Godley made his Broadway debut.

The following year Godley starred as Michal in Martin McDonagh's The Pillowman opposite Jim Broadbent and David Tennant at the Royal National Theatre.

He also appeared in BBC's A Young Doctor's Notebook (2011), CBS's The Good Wife (2012), USA Networks's Suits (2012), Showtime's Homeland (2015), and NBC's The Blacklist (2017).