You can browse user reviews and rankings for these types of series on: MyAnimeList (Namaiki Shoujo)
A "cheeky," "brash," or "insolent" girl. Unlike a standard tsundere who hides affection behind harsh words, a namaiki character genuinely believes she holds the upper hand. She is often condescending, teasing, or outright rebellious toward the protagonist.
For the audience, seeing a character who has been smug and insulting finally get "bested" provides a sense of satisfying closure.