What is an actor's movie?

For instance when The Exorcist (1973) was made, the studio had some idea of who they wanted in a film. They wanted Marlon Brando to play Father Merrin, but the director said he didn't want the film to be a 'Brando movie' So Max Von Sydow played the role I believe it was also said when Cary Grant was... show more For instance when The Exorcist (1973) was made, the studio had some idea of who they wanted in a film.

They wanted Marlon Brando to play Father Merrin, but the director said he didn't want the film to be a 'Brando movie'

So Max Von Sydow played the role

I believe it was also said when Cary Grant was considered for Bond, it would just be 'another Cary Grant movie',

What does it mean when they say that? What is an 'actor's movie'
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