He was nominated for a 2002 Laurence Olivier Theatre Award for Best Actor in a Musical of 2001 for his performance in My Fair Lady at the Royal National Theatre: Lyttelton and then later at the Theatre Royal, Drury Lane.

Children: Patrick (b. 1983), Gabriel (b. 1986) and Phoebe (b. 1990).

Became an Associate Member of RADA.

Pryce was at the center of a racially-charged controversy regarding his role in the mid-1980s musical Miss Saigon. He played "The Engineer," a half-French Caucasian/half-Vietnamese Asian pimp, in the original London cast, but when producer Cameron Mackintosh wanted to transfer the UK cast to the original Broadway opening, the US performers' union Actors' Equity objected on the grounds that Pryce, a Welsh Caucasian, should not have been allowed to play an Asian person. Their arguments against Pryce's casting were that a White person playing an Asian one amounted to minstrelsy, denied already-scarce roles to Asian actors, and was an "affront to the Asian community." In response, Mackintosh canceled the Broadway production (despite having sold advance tickets), so Actor's Equity reversed its decision on a technicality in their bylaws that exempts producers from having to audition domestic actors for a transplanted production if the original star is deemed famous enough. The policies regarding racial casting issues that Actor's Equity set in place in response to this incident still govern Broadway casting as of 2006.

Originated the role of "The Engineer" in the musical, Miss Saigon.

He won a 1980 Laurence Olivier Award for his depiction of Hamlet, a performance made famous by his also playing the role of Hamlet's father's ghost as a regurgitated voice.

He was awarded the Laurence Olivier Theatre Award in 1990 (1989 season) for Best Actor in a Musical for Miss Saigon.

Performed in plays for the Royal Shakespeare Company, in the period 1978 to 1987.

Alumni of the Royal Academy of Dramatic Art (RADA).

Was the artistic director of the Liverpool Everyman, during the seventies.

Won two Tony Awards: in 1977 as Best Actor (Featured Role - Play) for "Comedians," and in 1991 for Best Actor (Musical) for "Miss Saigon."

Pryce was one of the stars of Dark Blood (1993), along with Judy Davis and River Phoenix, but the movie was never released due to Phoenix's death during filming in 1993.

Awarded an honorary doctorate by The University of Liverpool on 12th December 2006 in recognition of his contribution to the acting arts on stage and screen.

He appeared in most of Nissan's luxury car division in America, Infiniti's television ads in the mid-1990s.