John Mills was "Tunes of Glory" (1960), a military drama directed by Ronald Neame co-starring Alec Guinness. Mills' performance earned him a Best Actor Award at the Venice Film Festival. Walt Disney saw "Tiger Bay" and offered Hayley Mills the lead role in "Pollyanna" (1960). Disney also offered John Mills the lead in the adventure film "Swiss Family Robinson" (1960), which was a huge hit. He did "Ross" (1960–61) on stage. The Rank Organisation insisted Mills play the role of the priest in "The Singer Not the Song" (1961) opposite Dirk Bogarde. Mills and Baker reteamed on an interracial drama "Flame in
John Mills the Streets" (1961) and an Italian-British war film "The Valiant" (1962). Mills did a comedy with James Mason, "Tiara Tahiti" (1962). He had a support role in "The Chalk Garden" (1964) starring Hayley. After a cameo on the war film "Operation Crossbow" (1965), Mills made a third film with his daughter, "The Truth About Spring" (1965). He had a cameo in "King Rat" (1965) for Bryan Forbes, who then directed Mills in "The Wrong Box" (1966). Mills again played Hayley's father on screen in "The Family Way" (1966). He then directed her in "Sky West and Crooked" (1966) from a