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Peter (Anthony Richmond) is a British schoolboy who has somehow come into possession of a magic marble. The wondrous orb has the capability of granting wishes, allowing Peter to escape such childhood tortures as schoolrooms and bullies. The "one too many" wish of the title involves a toy steamroller, which grows to gargantuan dimensions, threatening to flatten the whole city. One Wish Too Many won a best children's film award at the Venice Film Festival in 1956. Its 55-minute length was ideal for the late-1960s TV anthology CBS Children's Film Festival, where the film was rebroadcast at least a dozen times.