Bishop attended St. Francis Preparatory School in the Fresh Meadows neighbourhood of the New York City borough of Queens.

He began hosting shows and honing his act at the International Comedy Cellar, a venue set up by Irish comics such as Ardal O'Hanlon, Kevin Gildea, and Barry Murphy.

[4] Bishop appeared in the 2002 film In America, in which he played a high stockbroker rapping in the back of a New York taxi cab.

[4] A 2006 TV show named Joy in the Hood featured him travelling to deprived areas of Ireland's major cities and mentoring local people in stand-up comedy.

[4] Bishop received significant criticism during a show in 2006 for ableist comments he aimed at an audience member who was in a wheelchair and had an intellectual disability.

[14] In February 2021, Bishop became engaged to Hannah Berner, a former main cast member on the Bravo reality television series Summer House.