While You Were Sleeping by Belkacaramelka (annabelleg) is a humorous 7 chapter BKDK work, official summary below:
The one where quirkless fanboy Midoriya Izuku rescues Pro Hero Todoroki Shouto, gets mistaken as his fiancé while he is in a coma, and gets caught up in the most unlikely fake engagement… until his childhood enemy and Todoroki’s classmate Bakugou Katsuki tries to catch him out, and they both end up discovering a lot more about each other than they’d expected.
Quirkless AU based on the film; endgame BakuDeku.
This was a cute, funny read. Even though everyone discounted Izuku he still chased his dreams. In this AU he doesn’t has the opportunity to meet All Might and get his quirk. He ends up going to Ketsubutsu Academy studying General Studies and using that analytical brain of his to the fullest. Ultimately becoming a top agent at the Public Security Intelligence Agency. He’s the brains and “voice” behind successful hero missions and that’s how he “meets” Shouto, Pro Hero Shouto, and develops a friendship. It’s after the mission is over that everything goes crazy. Shouto is involved in an accident and quirkless Izuku saves him and is inadvertently mistaken for Shouto’s fiance. Shouto’s in a coma so he can’t deny it. Izuku’s having a difficult enough time trying to fool Shouto’s friends (he really hates the lying) and his fear of being caught skyrockets when his childhood friend Katsuki, Pro Hero Ground Zero, hears the story. Katsuki is NOT convinced about the engagement and it quickly becomes a game of “how the hell do I stay one step ahead of Kacchan?” LOL
Throughout the whole farce Katsuki gets a glimpse into Izuku’s life and everything that’s happened since they were in middle school together. Katsuki starts wondering what he’s missing that makes everyone else see Izuku as an awesome guy. The club scene in chapter 2 when Izuku twerked his ass so hard that he gave Katsuki heart palpitations, and the gleam in Izuku’s eyes every time he talked about gear were the BEST! LOL Eventually, though Shouto wakes up and everyone has to deal with what that means.