Yang's commemoration speech at the establishment of the 13th Fleet in episode 6. In which he attempted to give a rousing speech... And the soldiers assembled giving him a genuine standing ovation when he concluded with "Let's fight so we won't die". Not to mention that he also overslept and showed up late. Made even funnier by Job Trunicht pretending to be happy and applauding him...only to give Yang a Death Glare the moment the applause died down.
Yang: (Stood up) I'm Yang Wenli. Pleased to meet you all. (sits back down)
Late in the series, when Reinhard starts taking an interest in the arts and his subordinates all desperately try to pawn off his requests to accompany him to ballet, poetry readings, and the like onto each other.
Bittenfeld is the king of Funny on the Imperial side.
Immediately afterwards, Bittenfeld requests Reinhard for help. His reaction?
Soldier: A request for reinforcements from Admiral Bittenfeld.
Reinhard: Reinforcements? Reinforcements, is it? (getting increasingly angry) Does he think I have a magic jar that gushes fleets? [Reinhard launches into tirade] You know what? Cut off all communications from Bittenfeld.
It was especially amusing that Reinhard, usually calm and composed, could be annoyed to such an extent.
This exchange also:
Bittenfeld (to Wahlen as they are walking down the corridor, somewhere around the time of Reuenthal's rebellion): If the Kaiser ordered you to lead a punitive campaign against me, would you do it?
Wahlen (instantly and without batting an eyelid): Yes. (And he looks like he would like to add: "With pleasure.")
Bittenfeld's face at that moment is the CMOF by itself.
One time he has a conversation with Muller, gets worked up, kicks a wall, and ends up hurting himself. They then both act like it never happened.
Bittenfeld, being told that he's going to be under Oberstein while heading out for Heinessen, goes on a tirade against Oberstein.
Bittenfeld Since he spends all his time behind his desk, he should die at his desk!
And the tirade continues when Bittenfeld, Wahlen and Oberstein arrive on Heinessen:
Bittenfeld (loudly, walking about three paces behind Oberstein): I don't want to get embroiled in what Oberstein does! If I accompany him and end up going to Valhalla for it, I'll kick him out of the Valkyrie's carriage!
The official who fumbles reading the declaration during Reinhard and Hildegarde's wedding being told by Reinhard "You are not the one getting married".
The other admirals (except Mittermeyer) being taken aback by Eisenach finally speaking.
Toppled by the narrator, in his usual deadpan voice, reading the time and date like with any other historical moment.
Him defusing an argument between Bittenfeld and Wahlen by throwing water at them.
Marika, upon seeing the Imperial residence on fire: "This wouldn't have happened if I hadn't gone out to get ice cream!" An incredulous Kesler: "That's not how it works, is it?"
Poplin and Lücke knocking each other out simultaneously.
There are also a lot of presumably unintentional ones, for whatever reason (sometimes it can be attributed to the fansubs). An example is the flagship "Tlahuixcalpantecuhtli", or Fredericia's utterance "You might have killed millions of people, but at the very least, you made me happy." And then there are Yang's seemingly racist remarks towards Louis Mashengo...
Tlahuizcalpantecuhtli, the flagship of Vittorio di Bertini of 730 Mafia fame, is actually the name of the Aztec god of the morning star and this is in line with the ship-naming habits of both the Alliance and the Empire based on mythological figures.
Dusty's story about Poplin and Schönkopf catching each other coming out of certain female officers' quarters... then doing it again a few weeks later in opposite positions.
Reinhard, normally a VERY serious man, showing up with a HUGE bouquet of flowers for Hilda and acting like a love-struck puppy-dog.
Yang sneaking a drink during a high level strategic meeting in episode 38.
Made funnier when Julian's attempt to move the liquor bottle away from Yang was foiled by Yang's subordinates attending the meeting, who then proceeded to help themselves with the liquor, much to Julian's annoyance.
Yang lazing about during his retirement, stretching out on the floor and dangling a pink toy mouse in front of his cat. The cat is so bored of him that it yawns and turns away.
Combining this with Crowning Moment of Awesome, in the Gaiden OVA The Silver-White Valley, when Reinhard heard Kircheis was trying to save a woman from getting raped by their comrades, he decides to help. And he makes his Dynamic Entry from 14:20-14:30 of here, face covered in black and blond hair glowing. What makes this funny is that Reinhard may have went Super Saiyan on the rapists, and it gets funnier because Reinhard is Vegeta.
In "My Conquest Is the Sea of Stars", we see some Alliance soldiers bet on who'll win the next battle. Most bet on the Empire, planning to be the only survivor and get all the pool. Then they flustered when an officer catches them... And the officer being Yang he joins the betting with more cash than the entire pool. Without saying who he's betting on.
From the same movie, Yang's reaction to his fan mail: complain because of the waste of paper (presumably rationed, but still...).
In "Overture to a New War", Reinhard randomly do a handstand while waiting for his sister, then run to hug her only to embarrassedly realize he now has dirty hands and can't do it without dirtying her clothes.
The flashback of Mittermeyer proposing to Eva, thanks to the sheer Adorkable factor and his father (who was seeing the scene from afar) giving a double fist-pumping when she accepted.
Mittermeyer *barging in the flower shop after barely avoiding getting ran over by three cars*: "Flowers! Flowers! Give me flowers! Any kind will do! No, it's not! I want the most beautiful! The ones to make a girl happy!"
*The shop owner points at the roses in the shop, both red and yellow. Mittermeyer buys half of them. The yellow half*
Ernst von Eisenach is an Imperial Admiral that rarely talks at all, not even when giving out commands in battle. As a result, everyone that serves under him has to learn and memorize what he means when he gives out order by hand gestures. For his personal steward, if he wants a cup of coffee if he snaps his fingers once, and a glass of brandy if he snaps twice, and it has to be delivered to him within four minutes. His steward ended up being so intimidated by him that upon seeing the admiral snapping his fingers twice, ended up serving him two cups of coffee with literally seconds to spare before the time limit. Since Eisenach stubbornly refuses to speak up and tell the steward of the mistake, as the narrator puts it "The admiral spends the rest of the campaign enjoying either one or two cups of coffee".
After the Eight Battle of Iserlohn and having listened Reuenthal musing about self-incriminating things again, Mittermeyer wonders what Yang is doing in that moment, and guesses he's dancing with a beautiful girl at a victory party. Cue the Sneeze Cut showing Yang in bed with a cold.
Mittermeyer's reputation as "The Gale Wolf" is so well-earned that in one battle against the Alliance, his fleet reaches the enemy lines so quickly that he double takes and orders his forces to back up just so they could actually fire properly.
During the initial capture of Iserlohn by the Alliance, Yang orders his fleet to do a series of seemingly diversionary maneuvers just outside the range of the Thor Hammer. When asked about it, he explains that there's no reason whatsoever behind it. In other words, he was trolling the Imperials.
Two former members of the Lippstadt League try their hand at 'freeing' emperor Erwin Joseph II from Reinhard's hands... And discover that their emperor is a Spoiled Brat who has been woken up in the middle of the night, forcing them to kidnap him. As one of them points out, it's a farce.
Erwin's spoiledness is so hard that the crew of their escape ship refuses to bring him food because they've grown annoyed with getting pelted with it and haven't been told who he is.
In episode 42, the crew of the Alliance battleship Ulysses speculating on the reason for their captain's bad mood. What makes this funnier in that when they speculate he's in love with Julian and thus is in a bad mood because Julian had been transferred to Fezzan, the captain is shown blushing.
Immediately after, the Ulysses detects the incoming Reuenthal Fleet, and someone suggests they fight them with a single ship. The captain's reply?
While escaping from the occupied Fezzan, Julian was intercepted by an Imperial destroyer, and, being Yang's ward, captured it. To not get harassed by Imperial patrols he had to destroy the previous escape ship Berezka feigning it had tried to run. The reaction of Berezka's commander? Claim the destroyer as replacement.
Upon finding out that Julian captured an Imperial destroyer by applying his tactic when he captured Iserlohn, Yang muses he should copyright his tactics and add the royalties to his pension. Julian isn't sure he's joking.
Yang proposing to Frederica is as amusing as cute.
Frederica's answer shows she's the right woman for Yang: "If we pool our pensions, living expenses shouldn't be a problem".
Why did Yang didn't marry until after retiring? So that he wouldn't have to invite the bigwigs of the government and listen their interminable speeches. Then he found out he had to dress up and started regretting it...
The Undutiness suffers her first inspection from an Imperial patrol. The Imperial commander's first question? "Are any young girls on board?". And when he's told no, he's disappointed.
One from sheer absurdity: Oberstein prompting Reinhard to find a wife. He has a good reason for it, but still...
A woman tries to kill Reuenthal for forcing her great-uncle to kill himself and taking away her family's privileges. What does Reuenthal do? He seduces her.
When Yang gets arrested without evidence, what Frederica, Dusty and Schönkopf do? They call upon the Rosenritter and demand Yang's release in the most brazen and offensive way Schönkopf can come up with (it starts with hacking the server of the military headquarters to deliver the demands to commander-in-chief Rockwell, and Schönkopf declares his group as lawless rebels). The whole exchange is quite fun, but the crowner is when Schönkopf adds one hundred cases of wine to the demands, with Dusty first being surprised and then nodding in approval.
A few hours later, Rockwell has ordered Yang's execution, and the soldier assigned to that asks Yang if he has any last requests. He has: a taste of white wine from the future.
Attenborough commandeering the Alliance cruiser Leda II dressed as a pirate captain, complete with eyepatch and fake hook on his left hand.
Attenborough and Yang speaking of Kateroze:
As soon as he learns who is her father, Yang gives Attenborough a Death Glare. Wasted, too: Attenborough had already decided to not tell around about Schönkopf's daughter and cause that much confusion...;
Attenborough admitting he did find Kateroze attractive, but decided not to court her because if they married he'd have to call Schönkopf "dad";