Are you tired of anime girls who have typical personalities, hobbies, and worldviews? If so, you probably appreciate quirky anime girls who don't do anything normally.
Classic examples include the guitar-wielding maniac Haruko Haruhara from FLCL, and Ed the computer prodigy from Cowboy Bebop. More recently, there's Nezuko Kamado of Demon Slayer, who sleeps in a box and doesn't talk. There's also Filo from The Rising of the Shield Hero, who is a bird who turns human and has made more than one comment about eating her own kind.
If you see one of your faves on the list, know that weird is a compliment, not an insult. These girls are here because they're unique, fun additions to their respective shows. Sure, sometimes eccentric anime girls can have traits that are off-putting, but overall, their quirks are a part of their charm.
As a human, Nezuko Kamado was a typical 14-year-old girl, but things change once she's turned into a demon. After that, she's nonverbal, sleeps in a box, and keeps a wooden rod clenched between her teeth - but can decapitate anyone who messes with her brother.
The adorable a scout for the Kingdom of Science, Suika feels more comfortable in her melon helmet (which is eventually fitted with lenses by Senku so she can see better.) Her face when she squints definitely isn't cute, but it sure is hilarious.
Filo is a Filolial - a bird who transforms into an adorable girl. She definitely takes some of her birdlike traits into her human form, however - she eats everything in sight, even making comments about eating her own species, and is constantly making off-kilter comments. She's outlandishly cute, though.
As a student of U.A.'s Department of Support, Mei Hatsume is focused on creating new technologies that help heroes do their jobs. Mei takes it up to eleven by working around the clock, tricking people into using her sometimes faulty products, and screaming with excitement when she describes them.