Brokeback Mountain (2005)

Directed by Ang Lee, Brokeback Mountain (2005) stars Heath Ledger and Jake Gyllenhaal as two ranch hands who develop a complex romantic relationship while working together in Wyoming. The film follows their lives over several decades as they struggle with societal expectations and personal commitments. The film won three Academy Awards including Best Director for Ang Lee.

Från IMDB:
Two shepherds fall for each other, but their relationship becomes complicated when they both get married to their respective girlfriends.