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.
YMMV: A New Hope
And You Thought It Would Fail: Multiple studios turned the film proposal down and most of the management of 20th Century Fox outside of Alan Ladd Jr. thought it would be a final embarrassment before Fox closed its doors. After the film exploded into the public consciousness, everyone else changed their tune saying this film was the kind of unorthodox creative dare that company founder, Daryl Zanuck, often won big with.
Big Bad: Even though Palpatine is the villain of the saga in general, and Vader is the most recognizable and arguably most important, Tarkin is, for all intents and purposes, the villain of this one in particular.
Breakout Character / Breakout Villain: Darth Vader. No, really; he has nine minutes of screentime, yet became not only the most iconic Star Wars character and the central piece of the Saga's story, but also one of the most iconic movie villains of all time!
Complete Monster: Tarkin, naturally. He casually orders the destruction of Alderaan as if he was asking one of his men to take out the trash.
In the EU, it's revealed that he once dealt with a protest over high taxes by landing a troop transport on it, killing thousands.
Foreshadowing: Obi-Wan says Luke's father was "the best star pilot in the galaxy, and a cunning warrior." This line, in hindsight, gives us a clue as to the true identity of Vader. Why does Vader choose to personally take the Rebel ships out one by one, when he could just order a few TIE fighter pilots to do it? Because he's "the best star pilot in the galaxy, and a cunning warrior."
Fridge Brilliance: Obi-Wan's comment that some blaster marks were caused by Storm Troopers as opposed to Sand People because of their precision comes off as more and more hilarious as the series goes on, but if you think about it for a bit, you realize that the last time he ever saw Clone Troopers in battle was when they were badass as all hell.
The last survivor of Gold Wing's attack is Gold Five (the one who knew what he was doing). His last transmission begins with, "Gold Five to Red Leader..." yet Red Leader replies with, "I copy, Gold Leader." This could be a script error, or it could be proof that Gold Five was a married man. Red Leader, knowing that Gold Five had a wife back on Yavin's moon who was seconds away from being a widow, gave Gold Five a quick promotion to Gold Leader, thus ensuring his widow would get a bigger pension after his death. (Is there a Death Equals Promotion trope?)
Not only did Luke's father become Darth Vader, but we later see in Attack of the Clones that, the same day Owen met Anakin, Anakin killed a whole tribe of Tusken Raiders out of anger. Evidently he's afraid Luke will do something like that. And in the Expanded Universe, Luke becomes Palpatine's apprentice for a while.
After watching the prequels, seeing Vader so callously shoot R2 with a TIE Fighter blast makes him seem all the more cruel. He might not have known it was R2 or even aiming for him but it still jerks a tear.
Also, Darth Vader, later revealed to be the father of Luke Skywalker, had Luke's Uncle and Aunt murdered by stormtroopers, meaning he had his (step)brother killed. Several years later, with The Lion King, Simba's father ends up killed by his uncle. The connection between the two? Both Vader and Mufasa (Simba's father) were portrayed by James Earl Jones.
Garven Dreis, aka Red Leader, was shot down by Darth Vader in the last moments of the film. A New Hope also proved to be the last acting role that Drew Henley, the actor who played Dreis, would partake in, retiring shortly thereafter due to being diagnosed with Manic Depression.
Also, Dreis being shot down by Darth Vader is even more harsh after the revelation that he and Vader (then known as Anakin Skywalker) were originally comrades.
If you think about it, it's more just showing that Obi Wan's been in hiding for so long. The last time he was hanging around with troopers they were kicking ass, and then killing Jedi.
Given what we later discover about Vader's policy on employee mistakes in the next movie, Admiral Motti comes off as exceptionally stupid for picking a fight with Vader, especially by mocking the religion the Emperor holds to. This is even lampshaded by Grand Moff Tarkin in the Death Star Technical Manual, where he expressed that if Motti didn't keep his opinions to himself regarding the Force, he won't last long under Palpatine's Empire.
Just going by the films, Palpatine may not have ever let on to anyone but his apprentices that he was a Sith Lord.
According to the novelization, Obi-Wan was uncomfortable about Luke's questions about his father, but unlike Owen, Obi-Wan *didn't like lying* so he told the truth from a certain point of view: Darth Vader killed Luke's father.
Those who got to watch this first before they encountered the reveal that Luke and Leia are twin brother and sister may call the latter as a cop-out from the romantic triangle issue, but it does add some flavor to the films. With that knowledge, Han and Chewie have become two unfortunate guys getting caught in the middle of a big family mess, acting as some kind of baby sitters as the two siblings start putting things together. And it does add some more humor at how the two separately snark at his ship when each sees it for the first time.
Luke: What a piece of junk!
Leia: You came in that thing? You're braver than I thought.
C-3PO exclaiming "Thank the maker!" is amusing, when you know who built him. "Thank Darth Vader!"
Memetic Loser: Greedo, after George Lucas edited his scene so that he shoots but misses Han Solo at point-blank range. Even LEGO got in on the fun with a Funny Background Event in Revenge of the Brick wherein Greedo repeatedly fails to hit a dartboard positioned only a few inches away from him.
Mis-blamed: Vader did not destroy Alderaan. Tarkin did. Some fans actually forget this (As do writers, and the characters).
The wingman who flies on Vader's left somehow manages to escape blame for his flub. Han Solo only shot one of Vader's wingmen - the other one simply overreacted to Han's surprise attack and crashed his TIE Fighter into Vader's of his own accord.
Likewise, the first lightsaber battle on screen between Vader and Obi-Wan is fairly stilted and even dull compared to the ones in the films to come.
Special Effect Failure: The infamous "Han Shot First" scene is a victim of this in the remastered editions. The digital editing isn't so great at convincing you that Greedo shot first, and Han's attempted "dodging" is particularly bad.
It doesn't even look so much like "dodging" as much as it does "Greedo misses at point blank range."
Another failure first seen in the special editions was the use of a (very poor) CGI Jaba the Hutt in one previously deleted scene. That particular model was replaced in the 2004 edition with the one used in The Phantom Menace.
During the trench run just before the "Use the Force Luke" line, one scene of the Tie Fighters flying into the camera is obviously a flat photo-stat.
One failure that was fixed in the 1997 special editions and onward; in the shot just after Vader's "I have you now!" line, freeze-framing will reveal that the Tie Fighter to the right of Vader is completely absent for two frames.
The stormtrooper rifles were made from fully-functional British Sterling submachine guns, and fired "Hollywood blanks" to provide smoke and muzzle flash. During the gunfight across the chasm in the Death Star (where Leia kisses Luke before swinging across) the sound of the blank cartridges is heard when Leia takes a few shots, instead of the usual sound effect dubbed in.
In many scenes involving Lightsabers, there's always bound to be errors. These were fixed in the special editions.
As was a matte painting of a hallway and most of the optical lines around the ships.
Woolseyism/Bilingual Bonus: In the Italian versions of the movie, the Death Star was called the Morte Nera, which means the "Black Death." It's a very fitting name, as like the Death Star, the Black Death also resulted in a large extermination of people.