I'm okay with any genre(gore, murder, etc, basically NSFW is fine too), all I want is the female lead to be dominant, equality is obviously great too, but mc turning into a damsel in distress all the time later on in the story is is not fine with me. Mc has to be really strong physically/mentally. I mostly prefer physically along with mentally because otherwise she mostly ends up being saved by her male counterpart. Although I am okay with her being not so strong physically if she more than makes up for it with her intelligence. Mc being a prodigy is good too. Here are a few examples of what I'm looking for:

Beauty Pop(she's incredibly cool-headed and is more skillful than male mc)

Warau Kanoko-sama(she's extremely observant and intelligent in both a conventional and non-conventional way)

Koi dano ai dano(sequel to warau kanoko-sama)

Sadistic beauty (ecchi and NSFW a bit, but I love female mc for going after what she wants and obviously,love her personality too)

Murcielago (duh, she's a psychopath but I love her)

Aku no Hana(she's so manipulative it gives me goosebumps in a good kind of way)

Takane to Hana(love how she sets him straight all the time,and (spoiler alert)also that she comes to the rescue when he's thrown out)

Mizutama honey boy(I love how unconventional their relationship is,and also that they protect each other)

Perfect girl evolution(she does get saved quite a bit but she has protected him a lot of times too)

Seirei no Moribito(Balsa is so god-damn skilled it's simply mind-blowing)

Yakusoku no Neverland (Emma is so badass and kawaii at the same time)

Act-Age(unlike the mc in Glass mask, she is a lot more in control of herself(her actions in the latest chapters are justified), she never breaks or gives in, which is really admirable)

Arte(She cut off her hair, claiming she doesn't want to be a girl if it means she can't get to do what she loves the most, how more badass can she get?)

Innocent rouge(Marie comes in the later chapters,but when she does, she's so awesome it just blew my mind)

Tales of berseria (She's a half-demon intent on taking revenge for her brother, the definition of badass)

Ana satsujin(she's a psychopath, who is obsessed with murder, and really really interesting)

Mirai Nikki(Need I say anything?)

Utopia of homosexuality (I love how cool she is)

S-Watari San to M-Mura Kun(self explanatory ^^)

Happy sugar life(she's just .....wow)

Sprite(She's extremely self-reliant and a lot of people around do depend on her)

Mrs Angel(A former gangster turned housewife is not someone you get to read about everyday)

Trick Ster (she's so laid-back and cool)

Lady Snowblood(A female assassin hell bent on revenge? Sign me up)

Shion no ou(She's so adorable and strong at the same time)

Umi no kishidan(she's so much more skilled than others and she never gives up)

Saver (She's so calm, cool and collected all the time, it's just amazing)

Keijo(She's goddamn independent and skillful)

Gosick(she's not physically strong, but her mind is so sharp and she uses it to her full potential)

Oops, might I have said too much?
😅 Anyways, hit me up with all the suggestions you've got. I'd love to check them out. ^^

Oh just one last thing pliz, I don't like Special A, Hana yori dango, Tokyo crazy paradise, etc, because even though the female MCs were portrayed as strong, they mostly just ended up being a pile of mushy potatoes , as the story progressed (although TCP ending was quite good)

Okay okay, I'm done, don't beat me up, y'all.

I can recommend a couple with independent and emotionally strong female leads. They get rescued a couple times but also do their fair share of rescuing. Skip Beat, and Red River (Also known as Anatolia Story, or Where the Sky and Red River Meet). If you can find it, Ouran High School Host Club also sounds like a good option for an emotionally strong lead. And Mai-HiME (My-HiME), W Juliet, and Horimiya are all good options for assertive females.
Hope this helps.

Kakuriyo: Bed and Breakfast for Spirits
This girl is more of an underdog in her situation, but she’s very sassy, straightforward, and kinda realistic for a shoujo character. Which I would consider unconventional in a way. She’s grateful for help but doesn’t depend on others, in fact, she insist on standing-up and doing things herself. So I’d consider her a mentally strong type female lead. The male lead is considered more powerful and controlling, but she doesn’t take it sitting down, and she definitely gets her way in the end haha.

Queen with a Scalpel
The beginning is a little repetitive, but if you can push through that then you’ll see that the female is a competent character. It’s about a doctor who is reincarnated into a historical universe where she uses her medical knowledge from modern Earth. I’d say she takes control of her future and is assertive in important matters. But, she isn’t a very forceful character, gentle, but knowledgeable. More of an actions-to-solve-a-problem than charismatic-arguer type.

Medaka Box
I never finished it but it’s a fun manga with a strong and very assertive female lead. It’s set in a high school setting where she’s the student council President. She’s strong physically (like THE strongest) and able to do just about anything. She hardly really needs saving but the male lead is really dedicated to her.

ichi
A very skilled swardwoman set in historical japan. She’s a cool, composed, and talented female lead with at-her-own-pace actions. I think she’s super cool and highly recommend this one. It’s been a while since I read this one so I don’t remember much, but I remember really enjoying it.

Ray
Really badass medical prodigy female lead. Set in like the underworld of society (black market, illegal trafficking, etc) and kinda murder mystery. Again, another one I haven’t read in a long time but I remember her as cool, serious, and talented female character.