Then as he walks away, he tosses a coin to the bartender and says "Sorry about the mess".
Poor Greedo - his death would be funny if it weren't so tragic... ...who am I kidding? His Karmic Death was totally hilarious!
The Special Edition "Greedo shot first" cuts are just as much, either showing Greedo to have incredibly bad marksmanship that he misses Solo up close or showing Solo as dodging the shot in an animation that looks like a 2 second photoshop job.
Then Chewie pretends to freak out and attacks the officer, while Han shouts "It's loose!" and he and Luke act like they're going to subdue him but instead shoot the guards and the cameras in the room.
In A New Hope Han Solo charges at a squad of Stormtroopers to drive them off, brandishing his gun and yelling like a madman. The Stormtroopers seem genuinely intimidated by this and flee - until Han chases them around a corner and finds himself facing a hangar bay full of hundreds of Stormtroopers. At this point his battle cry changes to a panicked scream and he does a rapid 180 - and despite all this he still manages to gun down one trooper on his way out, 'cause he's Han Solo.
Arguably funnier in the original cut, where it's just the same half dozen stormtroopers who were fleeing five seconds earlier. You can just tell they did a quick headcount and realized "Hey wait a minute, why are we running from just one guy again?"
According to the novelization, that's pretty much exactly what they were thinking at that point. They initially broke rank and fled because they thought Han knew what he was doing. They came to a dead end so they had to stop running and turn around, meaning Han had to stop running. Then there was a moment when they were looking at each other and Han was like "Oh crap, it's just me against all of them," while the stormies were like "Hey! It's all of us against just him! And here we've been running away from this lone moron the whole time! Now I'm angry! Let's kill him!"
When Han tries to bluff an intercom: "Uh, we had a slight weapons malfunction, but uh... everything's perfectly all right now. We're fine. We're all fine here now, thank you. How are you? [winces]" And then he proceeds to blast the intercom after it didn't work, claiming it was a "boring conversation, anyway". Even funnier if you know that Harrison Fordmade it all up on the spot because he forgot his lines.
That scene in A New Hope where the stormtroopers unlock the door and start shuffling in. The leader is giving out instructions as they walk in but right behind him one of his menhits his headon the door frame with a notable *CLUNK*.
This was an accident during filming that they decided to keep and even gave a sound effect to.
A bit of Fridge Logic in "A New Hope" is that when Luke, dressed in full stormtrooper gear first meets Leia, she actually flirts with him. Does she make it a habit to flirt with imperial troops?
She might have been trying to present a nonchalant appearance after being tortured, as in "You think that probe was bad? You never went to Spring Break on Aldreaan!"
Alternatively, she was trying to get the trooper's guard down until she could take him out, steal his weapon, and fight her way out.
Or she was just being snarky. Telling a guy that he's short isn't generally a good way to flirt with him.
Or the entire sequence where Threepio forgets he's wearing a comlink, while Luke and the others are calling for help while trapped in a garbage chute; with the walls closing in. Then, when Threepio finally remembers and tells Artoo to shut all the chutes down, and then proceeds to confuse screams of jubilation for horrified death-rattles.
C3PO: Listen to them, they're dying, R2! Curse my metal body, I wasn't fast enough, it's all my fault!
Or any of Threepio's interactions with Artoo during A New Hope. The original intent for Threepio was for him to be a fast-talking car salesman, but it was derailed - arguably for the better - when Anthony Daniels (his actor) decided to play all of Threepio's car salesman lines completely earnestly, making him into a British gentleman. As a result, the writing shifts so that he became less snarky in the later movies.
C3PO: Just you reconsider playing that message for him! [R2 beeps a question] No, I don't think he likes you at all. [R2 beeps again] No, I don't like you either. [R2 beeps sadly]
Another good Threepio moment is the visual gag when R2 and Threepio are pulled out of the sand after the Sail Barge fight using magnets, and Threepio is upside-down.
In A New Hope where Han and Chewie are being chased down a Death Star corridor by a bunch of stormtroopers. One of them yells "Close the blast doors!" and Han and Chewie barely make it through in time. The stormtroopers are all still running towards the door, another one yelling "Open the blast doors! Open the blast doors!"