Graham was the youngest ever winner of ''
So You Think You're Funny?'' in 2009 and was subsequently signed by UK talent agency Off The Kerb. He was nominated for Best Newcomer at the 2010
Chortle Awards. His television appearances include
The Stand-Up Sketch Show (ITV2),
Live at the Apollo,
Mock the Week,
Live from the BBC, ''
Russell Howard's Stand Up Central, As Yet Untitled, Virtually Famous, QI, Sweat the Small Stuff,
and The Dog Ate My Homework, and he is a regular on radio show Fighting Talk. In October 2019 and December 2021, he competed on Richard Osman's House of Games'', and appeared on
Paul Merton's team on
Have I Got News For You on 8 November 2019. Graham appeared again on the show, via webcam due to the
COVID-19 pandemic, on 15 May 2020, and was again part of Paul Merton's team. In 2023, Graham competed on the fifteenth season of
Taskmaster. Graham regularly performs at the
Edinburgh Fringe. His shows
Binoculars (2013),
Bowties and Johnnies (2014), and
No Filter (2015) all transferred to London for runs at the
Soho Theatre. His 2017 show
Educated Guess garnered good reviews and sold out, prompting several extra shows to be added, which were performed at the Soho Theatre in October. Graham has also supported
Josh Widdicombe on tour. In 2019, Graham was included in the
i-news "50 of the best jokes of the Edinburgh Fringe" with his line: "Do I enjoy randomly appointing people to judicial positions? I'll let you be the judge of that". That year, he was nominated for Best Show at the Edinburgh Festival Fringe for his show, "The Game of Life". In late 2021, Graham co-presented the Dave travelogue
British as Folk alongside fellow comedians
Darren Harriott and
Fern Brady. In May 2025, Graham replaced
Ben Miller as the voice of
Monkey in adverts for
PG Tips tea. ==Personal life==