He trained in New York City, at the Neighborhood Playhouse School of the Theatre with Sanford Meisner,[3] following service in the Royal Air Force as a radar mechanic.

[4] Graham returned to England and began his theatre career, his breakout role being as Givola in The Resistible Rise of Arturo Ui, alongside Leonard Rossiter.

He was then recommended by director Michael Blakemore to audition for Laurence Olivier's theatre company,[3] eventually appearing alongside him in Saturday Sunday Monday, using an Italian accent.

[1] While playing characters in the TV series Private Investigator[3][5] in 1958, Graham met writer and producer Gerry Anderson, who was planning his first puppet productions.

Graham said that he could pull off accents well, which led to his first voiceover role in Four Feather Falls, as Grandpa Twink, whom he based on Walter Brennan.

[2] He subsequently voiced Dr. Beaker, Zarin and Mitch the Monkey in Supercar, Mat Matic and Lieutenant Ninety in Fireball XL5 and various guest characters in Stingray.

He, later, played the role of Big Brother in the "1984" television Super Bowl advert to introduce the Apple Macintosh computer,[11] before reuniting with Hawkins and his wife, Rosemary Miller, to provide voices together in the English dub of German animated film Stowaways on the Ark.