About midway through “The Sixth Sense,” Bruce Willis’ Malcolm, a compassionate child psychologist, attempts to cheer up Haley Joel Osment’s Cole, a disturbed boy struggling with secrets he’s too ...

“I heard from [Bruce] a lot after it came out in those subsequent years. He’d leave voicemails at the house from time to time, just checking in,” Osment said. “He would just call out of the blue, so ...