Basically we would just say see any movie that has Paul Newman in it but if you force us to choose:

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Paul Newman is the young pool hustler looking to de-thrown Minnesota Fats in The Hustler.
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The tagline for Hud said he was the man with the barbed wire soul.
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Paul Newman is a very cool P. I. in Harper.
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Cool Hand Luke is the classic story of a man who did not want to go along with the system.
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The odds are in your favor that you will enjoy The Sting.
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Slap Shot is a movie about minor league hockey that has become a cult classic.
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A great courtroom drama - Paul Newman is a lawyer looking for redemption in The Verdict.
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One you might have missed: Nobody's Fool. In his fifth decade of acting Paul Newman gives a performance of a lifetime.
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And, we'll say it again, any other movie that has Paul Newman in it.