Ambiguously Gay: Many a debate about whether both characters were homosexual, bisexual, or more complicated if Jack was gay but Ennis was only Jacksexual and heterosexual with him out of the equation.
Award Snub: Movie critics generally see the decision to award Crash with Best Picture over Brokeback as one of the biggest Oscar mistakes of the decade, if not all time. It's become an even greater consensus in the years since, as Crash has not aged well compared to that year's other Best Picture contenders. The voters are commonly accused of wimping out by awarding a movie with the relatively safe message of "racism is bad."
Awesome Music: The music from the trailer ("The Wings") is very touching, and it became a staple of slashyFan Vids. But it's very cool on its own merits.
Double Standard: Jack and Ennis cheating on their wives? Jerk Asses, or a pair of guys caught between a rock and a hard place? One could argue that in a more accepting society, they would never have felt pressured to marry women in the first place, and thus never cheat on anyone. Especially seeing as there were clear examples where openly gay/suspected gay men would be killed off horribly.
Part of the reason for all the jokes about the premise (and the subsequent misinformation about the men's jobs) was a South Park gag from years before Brokeback Mountain was made about all independent movies being about "gay cowboys eating pudding"; there may not be any pudding, but otherwise... In fact, Trey Parker and Matt Stone commented in an interview:
Stone: If they have pudding in that movie, I’m going to lose my mind.
Parker: No, if there’s pudding eating in there, we’re going to sue.
Jake Gyllenhaal's sister Maggie played Rachel Dawes in The Dark Knight, in which Ledger played The Joker. Her character dies, too.
For that matter, Jake was apparently considered for the role of Harvey Dent.
For Batman, before Begins was in production. That would have put a whole new spin on Joker's line "You complete me." (...okay, maybe exactly the same spin.)
Internet Backdraft: At the time, whether this movie should have won over Crash was quite the debate-starter (to say nothing of those who think neither deserved to win). Now, while it's still not consensus that Brokeback was the best film that year, most film critics agree that Crash should not have beaten it.
Some were rather upset about the movie centering on a gay couple.
Ennis' father knew he was gay. That's why he made him look at that dead gay guy.
But Ennis was NINE when that happened...
Kids get kid crushes. It's logical gay people would too, rather than bi/homosexuality always magically manifesting at adulthood. Not to mention that back in those days, people still had the attitude that something happened to "make" you gay (given the numerous attempts at "fixing" it with therapy and hospitalization). Even if his father didn't suspect anything at such a young age, he may have thought that making him see something like that would scare it out of him, just in case.