AkuHigu

"I... I realized it, at last. That I just don't want everything to end without me saying anything! please listen to me, I... Senpai wait, my feelings- I haven't..."

- Higuchi confessing her love before being turned into a vampire (Chapter 88)

AkuHigu is the het ship between Ryunosuke Akutagawa and Ichiyo Higuchi from the Bungou Stray Dogs fandom.

Canon
Higuchi is works as part of Akutagawa's command unit and acts as his assistant and bodyguard. She is shown to be very loyal to Akutagawa and is always willing to fight alongside him, though this is highly unreciprocated. In various occasions, Akutagawa largely expresses his refusal to accept Higuchi's assistance in his endeavors, especially in his constant pursuit of gaining Osamu Dazai's acknowledgement, claiming that he does not need her nor anyone else's help. However, Akutagawa's cold nature can be understandable because of his past. Despite of this, it is shown that Akutagawa appreciate and thankful to Higuchi and tries to save her in some moments. For example, he protected her from Atsushi in his tiger form and later on he saves her from Kyouka. Akutagawa tries to not show his feelings to anyone because of his goal to impress Dazai-san. However, when Higuchi went to save Akutagawa who is comatose, he shows how he is glad to see her and sincerely thanks to her.

Ability Wars Saga
Akutagawa and Higuchi first shown together in a short moment after ending in episode 2. Higuchi tells Akutagawa that they found where Atsushi is and both of them go for their mission.

After Higuchi tricks the Armed Detective Agency, cornering Naomi, Junichiro, and Atsushi in an alley, she calls Akutagawa, confirming her success and that she's "taking care of them" now. Drawing dual guns, Higuchi intends to kill them. Shooting at them and harming Naomi, Tanizaki grabs her by the throat, lifting her and declaring he'll kill her. But then, Akutagawa shows up, impaling Junichiro and saves Higuchi from him. Higuchi immediately tells him that everything is alright and she could do it by herself. He slaps her across the face, telling her that they were ordered to take the weretiger alive, not gun everyone down. Even though strict orders of bringing Atsushi in alive, Akutagawa saves Higuchi after she gets cornered by Atsushi in his tiger form but later he understands that the tiger was illusion by Junichiro. As Akutagawa continues to fight Atsushi, Dazai eventually stops it, and Higuchi threatens Dazai, before Akutagawa tells her that they can't win and to let it go.

In episode 4, sceptical, Higuchi orders a summons for Black Lizard to attack The Agency. Hanging up, Higuchi scowls in deep-seated anger, recalling how Akutagawa backed down in Dazai's presence, which enrages her, and she won't stand for it.

Later on, Higuchi does not take action for the rest of Atsushi's bounty until after Akutagawa's brutal defeat. Using a motorboat, she discovers Akutagawa's unconscious, gravely injured body floating in the ocean. She's quick to rescue him and get him the medical attention he needs.

Higuchi is talking with Mori when he says that there are probably going to be people who want revenge on Akutagawa for all of the sunken cargo and money lost on the ship, which instantly fills Higuchi with dread. Mori sums up Akutagawa's dire state and calmly points out he may remain comatose for good, much to Higuchi's dismay. Higuchi points out Akutagawa's remarkable capabilities and contributions, Mori doesn't deny his efforts. However, he questions Higuchi's place in Port Mafia, shutting down her argument. Even though Higuchi herself notes, is rather unfit in the Port Mafia, the reason she didn't left is Akutagawa. Soon after, Higuchi is informed Akutagawa's been captured, as Mori anticipated. Against Mori's orders, Higuchi makes a move, but Hirotsu and Tachihara try to stop her. Tachihara points out "Karma Transit" hired mercenaries, of which Higuchi can do nothing against alone, and she should just wait for Mori to give the order to save Akutagawa. Higuchi yanks away, shooting him a harsh look, stating that that order will never come and goes to save him alone.

Higuchi understands that if the Port Mafia involves themselves, it'll spread into an all-out turf war with other groups, so the higher-ups want it to stay under wraps as a "squabble" between individual agents, calling Akutagawa a "sacrifice" in their eyes. Higuchi's aware she can't do anything on her own, but she can't just stand around and do nothing. She runs off, remembering how flustered she gets for missions, knowing she isn't fit for the Port Mafia. She admits contemplating trying to leave, even if it isn't easy, but the only thing that stopped her was her devotion towards Akutagawa. She charges into the enemies base, gunning them down as much as she can before she's shot in the leg and her shoulder. She knows she can't fight like this, but persists for Akutagawa's sake. Just as she's about to be killed, Black Lizard bursts through, providing assistance. At Higuchi's disbelief, Hirotsu reasons that as their commanding officer, Black Lizard cannot stand by when she's in trouble, mirroring Higuchi's resolve to save Akutagawa.

She is backed up by the Black Lizard, and she immediately runs to where Akutagawa is. As she stands over his bed he wakes up and seeing her, calls her name. Higuchi notices that there's blood in his face and reaches for her handkerchief, trying to wipe Akutagawa's face, but he grabs her hand, apologizing for the trouble and sincerely thanks to her. With tears in her eyes, Higuchi assures him she's just doing her job.

The Guild Aftermath Arc
Following the three-way conflict, while driving down at night, Higuchi notices Akutagawa in his civilian clothing along the streets. As she thinks of a way to drive him home, she sees a woman leaving with him, much to her distress. The next day, being jealous, Higuchi tries to look for the woman, thinking that she is either an enemy assassin or a government spy sent to harm Akutagawa. Reaching a dead-end alley, Higuchi finally recognizes the woman to be Gin, and they also learn that she is Akutagawa's younger sister, to which Higuchi sobs out of relief. Later, she asks Gin to call her "older sister" as her superior.

After Fyodor Dostoevsky stabs Mori, infecting him with Alexander Pushkin's virus, Higuchi is the first to rush in and aid Mori. Naturally, she participates in the Port Mafia and Agency's feud. While patrolling their headquarters, she is ambushed by Kyōka's Demon Snow, dragged into another room. Kyouka threatens her for the security code of Mori's safe room. However, just before Kyouka can do anything, Akutagawa intervenes, cutting a hole in the floor and separating the two. He instructs Higuchi to alert the others of the Agency's raid.

Kamui Revelation Arc
In chapter 88 of the manga, when Higuchi encountered an alive Akutagawa two days after his assumed "death" by Fukichi's hands, she embraced him from behind in tears. She said that she was planning for his funeral until she saw him and wanted to tell him something important. When Akutagawa revealed his undead form, she was in great shock and said "My feelings, I haven't-" which indicates that she was planning to confess her feelings to him before she was turned.

Novel Bungo Stray Dogs: 55 Minutes
Akutagawa heads to Standard Island with Higuchi to hunt down four men who stole from one of their bank branches and killed a Mafia accountant, while disguised as tourists.

Right after they arrived in Standard Island, Higuchi talked with Akutagawa about how the island was the best resorts in the world and she believed " "It is important for us to make sure we are both physically and mentally sound, so how about a little sightseeing after the mission. Just the two of us.” He refused briefly though. Didn't give up, she tried to convince Akutagawa go to the masquerade ball at night at the plaza, but failed again

Finally, she said, ""Sir, we need to have a base before we start our mission. As it happens, I already booked us a room at a top luxury hotel under a fake name. It’s only one room, though. How about taking a short rest there before heading out?”"

- Higuchi to Akutagawa

implied something, but he keeped refusing. It made Higuchi gazed at the vast blue sky with a look of revelation.

After the mission, Higuchi answered Akutagawa question about how did she neutralize the guards. Akutagawa then softly chuckled and praised her "Good work." It made her looked at the guards on the floor, then hopped into the air "Yay! He complimented me!"

Bungou Stray Dogs Anthology: Hana 7
Higuchi was in disguise and were stalking Akutagawa. While Gin-an assassin crossed over Higuchi and didn't even notice her, Akutagawa recognized her immediately after she accidentally fell on him

Fanon
AkuHigu is one of the most popular hetero ships but it isn't as popular as some other BSD ships and is very overshadowed by its rival ships such as Shin Soukoku or ChuuAku. However it is still often noted by the fandom as one of the few ships that could eventually be canon, because of Higuchi's hinted crush on Akutagawa.

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Trivia

 * Even though Akutagawa berates Higuchi when he arrives and finds out that she has gunned down an entire alley, which placed Atsushi Nakajima, their bounty target, at risk, Akutagawa instinctively saves Higuchi after she gets cornered by the tiger, forcing him to ostensibly kill Atsushi despite strict orders of bringing him in alive.
 * Higuchi said to Atsushi: “Women like to be approached forcefully.” and she acts the same with Akutagawa.
 * In original novel "The Beast", Higuchi doesn't exist but in manga verson, author decided to draw Higuchi for a short moment with Akutagawa (How she and Akutagawa meet each other for the first time in one of chapters).