White starred opposite Alan Bates, Dirk Bogarde and Ian Holm in the film adaptation of Bernard Malamud's The Fixer (1968) and then travelled to Hollywood in 1968 to make Daddy's Gone A-Hunting (1969). She appeared in a Dean Martin western film, Something Big (1971), and had major roles in Dulcima (1971) and Made (1972), with the singer Roy Harper. During the late 1960s, White was considered one of the most promising actresses in British cinema, but her problems with alcoholism and substance abuse, as well as unhappy relationships with male stars such as Richard Burton, Frank Sinatra, Oliver Reed and Paul Burke, hindered her career. She did, however, have a prominent role as a hostage in The Squeeze (1977).