Brokeback Mountain (2005) is famous for its lean, focused storytelling, director Ang Lee and screenwriter Diana Ossana have noted that very little was actually "deleted" in the traditional sense. The film stayed remarkably close to the original screenplay and Annie Proulx’s short story.
The Holy Grail: The Elusive “First Kiss” (Extended)
Perhaps the most famous of all the deleted material is the extended version of the tent scene. In the theatrical cut, the sequence is abrupt and violent. Drunk on cheap whiskey and frozen by the Wyoming night, Jack pulls Ennis’s hand onto his own erection. Ennis reacts with a punch, followed by a frantic, desperate release of pent-up desire.
There is a famous line in the script regarding the specific year their lives changed.
It was a moment of perfect, quiet domesticity. It was the life they could have had if they weren't who they were. The studio executives felt it was too sentimental, too soft for a film that was meant to be a tragedy. They wanted the audience to feel the loss, not the comfort.
Since physical deleted scenes don't exist, a "feature" would best be served by a side-by-side comparison of the Larry McMurtry and Diana Ossana script and the final film.
Broadcast Censorship: In 2008, an Italian TV network (RAI) faced significant backlash for airing a version that removed several gay kissing and sex scenes, though these were not "deleted scenes" in the traditional sense but rather edited for broadcast. Why not read the original short story by Annie Proulx?