For those who aren't aware I Want to Help is a post GM fic where Taylor is dropped into the MCU about a year or so before Banner became the Hulk and in a manner that got her immediately snapped up by S.H.I.E.L.D (Contessa threw her onto the windshield of a quinjet).
She joins S.H.I.E.L.D and begins helping out while keeping the full extent of her powers secret. What I really liked about this one was how well it did at integrating Taylor into this world in a way that allowed her to be influential without feeling like the plot was completely bending around her.
She missed things. She occasionally got outplayed or made a mistake, but she also showed just how dangerous an experienced superhuman could be in a world just barely starting out.
There are a couple of scenes with both sides reacting to high-level bullshit from each other's side and having a bit of a freakout.
I am hoping to find other fics like that. Escalation City (Yu-Gi-Oh crossover), A Hero's Retirement (Dispatch) and Exodus (Big Hero 6) are other ones I know of although they still have a sense of Taylor as an outsider, at least for much of the early fic, whereas I Want To Help pretty quickly gets to her being more grown up, mentally stable, and integrated into her new home. Which is really the vibe I am hoping to find, but I will take anything along the lines of any of those fics.
I guess Sect is also kinda like this albiet from a very different genre.