Betty Broderick was the subject of high-rated TV movies in 1992 — back when women who killed their ex-husbands, as she did, observed notoriety on major systems , not Lifetime. A new limited succession under the “Dear John” umbrella, “The Betty Broderick Story, ” offers a much more nuanced coming to the tale — a welcome makeover buoyed by Amanda Peet’s knockout performance in the title role.

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