These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Doubly averted in that although Woody Allen lost Best Actor despite being in his best known role, it was to another romantic comedy film, Richard Dreyfuss in The Goodbye Girl, and it beat out the top contender in the category, Richard Burton in Equus.
Critical Dissonance/Award Snub/True Art Is Not Popular: Star Wars lost out to Annie Hall for the Best Picture Oscar in 1977. While many moviegoers might think otherwise, many film historians and critics agree that Annie Hall deserved the win. This is also true for the legacies of these two titles. Annie Hall isn't as well known but it is well acclaimed by many hardcore moviegoers and critics. Star Wars, meanwhile, became a franchise and pop-culture juggernaut, but got cries of It's Popular, Now It Sucks, especially when the prequels came out.
The party guest using the house phone to tell his guru he forgot his mantra is already supposed to be funny, outlining the pseudo-intellectual, culturally-appropriating nature of LA, but the fact that it's a then-unknown Jeff Goldblum and he's only in the entire movie for less than 5 seconds makes modern-day viewing that much more hilarious.
Marshall McLuhan's thoughts on television and media ("the media itself is the message") and theories on the global village were derided as outdated by the time Annie Hall was released. With the arrival of The Internet, McLuhan has the last laugh.
When Alvie's going through his buttons calling for the impeachment of various presidents, Ronald Reagan is included among them; he had already served as governor of California (which is probably what the button is referring to), but hadn't been president yet.
Harsher in Hindsight: When ranting about Who Shot JFK?, Alvy notes that he wouldn't put it past LBJ to have been in on the conspiracy because politicians are so rotten, they're "one notch above child molester". Just try watching that scene nowadays without thinking of the allegations against Woody....
Internet Backdraft: Debates on if Star Wars was snubbed and if Annie Hall deserved it can spark a big one. We'll keep it at that.