Between 1980 and 1995 Fraser was a Drummer with several rock bands including "Fear of Sex," "The Reasonable Strollers," "Joyride," "The Grateful Dub," and "Living in Texas," who had a number one single in Italy. Fraser played the drums with Graeae Theatre Company's "Reasons to be Cheerful" at the 2012 Paralympics opening ceremony, where he also hosted the pre-televised section, and with Coldplay during the closing ceremony.

Fraser played the lead character, Sparky, in BBC Radio Four's Saturday Playhouse production, "Inmates" (1997), by Allan Sutherland and Stuart Morris.

His first major television role was in the three-part World War II drama series Unknown Soldier (ITV, 1998).

"Genetically Modified...Just For You" (2000)

His 2001 play 'Sealboy: Freak' draws on the life history of Stanislaus Berent, a sideshow performer with naturally occurring phocomelia who worked under the stage name Sealo.

Fraser's 2002 television documentary "Born Freak" looked at this historical tradition and its relevance to modern disabled performers. This work has become the subject of academic analysis in the field of disability studies.

He presented the 2004 Channel Four documentary "Happy Birthday Thalidomide", documenting how the drug was being used in Brazil to treat leprosy, but that its use in a country with low levels of literacy and a black market in drugs was leading to new thalidomide births.

He wrote 2005's Thalidomide!! A Musical, in which he and Anna Winslet played all the roles.

His film Kung Fu Flid was released in 2009, starring Faye Tozer (formerly of pop group Steps), Frank Harper and Terry Stone.

Fraser's 2011 show, " From Freak to Clique", charted the history of portrayals of disability, including freak show performers.

Fraser married Julie Atlas Muz, a burlesque star, in May 2012 in New York City.

Fraser was commissioned by the Research Centre for Museums and Galleries at the University of Leicester to create a new artistic work, shaped out of a collaborative engagement with museum collections, research and expertise in medical history, museums and disability. The resulting performance, "Cabinet of Curiosities: How disability was kept in a box" was performed at the Thackray Medical Museum, Leeds, the Silk Mill Museum, Derby and Manchester Museum. It won the Observer Ethical Awards, Arts and Culture 2014. The Guardian's Lyn Gardner stated that, "by making a spectacle of himself, Fraser is not only raising the spectre of the Victorian freak show but also subverting it by questioning what is exhibited and what isn't, and making us confront what we are shown and what we are not shown, both in art and in life".

In May 2017, Fraser was cast as Shakespeare’s King Richard III, ‘a disabled guy gets cast as a disabled guy’, a role he discussed with Emma Tracey, presenter for BBC Radio’s Service for disabled people, "Ouch".