Cape Fear is a high-profile limited series coming to Apple TV next month as part of the streamer’s best-ever summer lineup . Here’s the new trailer. Cape Fear coming to Apple TV soon, here’s the new trailer Apple TV is best known for its sci-fi series, comedies, and thrillers—but horror is hard to find. Currently Apple is airing the acclaimed comedy-horror mashup Widow’s Bay , but a new series coming next month will lean even harder into the horror genre. Cape Fear arrives Friday, June 5  with its first two episodes, followed by weekly releases through July 31. Add to your Apple TV Watchlist It stars Javier Bardem, Amy Adams, and Patrick Wilson and is executive produced by Martin Scorsese and Steven Spielberg. Apple describes the show as a “psychological horror thriller,” indicating the fear element may be more psychological and not heavy on physical violence. But as the new trailer released today shows, that doesn’t mean it’s shy on horror vibes.…