So yeah, an action manga with a female main character who's overwhelmingly strong. Ichi might work, and Haru Polish looks like it's going in that direction. It can be realistic fighting or fantastic, but the character must be dominating.

And yes, it's told through her perspective. None of those mangas where the story is kind of focused on a really powerful, tragic female heroine, but is told through the eyes of her weak and semi-retarded sidekick who helps bring out her inner power.

As always, romance is a plus, but not strictly necessary.

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Saver fits your description really well
Tokyo Crazy Paradise might also work
Buyuden
Oresama Teacher
yankee-kun to megane-chan this probably fits your description best
five after she gets coffee she's nearly invincible
Chotto Edo Made may or may not end up like this I can't tell yet
Superior this also fits your description really well
Gokusen is amazingly epic and perfect
TENMA NO KETSUZOKU
Hana no Kishi
OBAKA-CHAN, KOIGATARIKI
SHIAWASE KISSA SANCHOUME
UMI NO KISHIDAN


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Perdition Prison- where there are no guards, no rules and no escape. Only the strong survive: http://perditionrp.freeforums.net/

skip beat
kaichou wa maid-sama
special a
kodomo no omocha
oresama teacher
gakuen alice
bloody kiss
reimei no arcana
zero no tsukaima
charisma doll
wild ones
my dear school gang leader
crazy girl shin bia
delinquent cinderella
wait wolf
boy of the female wolf
warau no kanoko-sama
koi dano ai dano

hope it helps.. [spoiler]

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While that is a list of good manga, almost none of those fit my requirements at all. For the most part, they aren't action manga, and the few that are have so little that they barely deserve the designation.

I think shounen and seinen with female leads would be more likely to fit my request than anything else.

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Maybe Black Lagoon would fit.

Well, maybe some of the females in Noblesse?

Black Lagoon has already been mentioned
Battle Angel Alita and the sequel/continuation Battle Angel Alita: Last Order
Change 123
Claymore
Hayate x Blade maybe
Kurohime
Pumpkin Scissors although the main lead is not physically strong she is absolutely overpowering
Appleseed
Murder Princess
NOiSE
Rose Hip Rose
Show Me the Money

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Sarcasm just doesn't work over the internet.

bamboo blade althaugh the manga is somehow devoid of male
kurohime and princess resurrection are the two that i think best fit for your description

Medaka Box it's a little told through both the male and female

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All choices are made in fear,
What you fear more is the only difference.
Positive decisions are made in fear negative consequences,
Negitive decisions are made in fear of positive decisions not giving the outcome you want.
Embarrassment is the fear of people knowing your real thoughts.
Greed is the fear of having too little.

Demonblaze0's personal thoughts

SO sorry but reimei no arcana and oresama teacher fits.. i actually put strong female leads..

here's some others i found

saver
her majesty's dog

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I second (third?) Kurohime.

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"People don't change, they just give in."<BR><!--url_type_2--><a href='http://webtoons.com/en/fantasy/kubera/list?title_no=83' target='_blank'><u>Kubera is the best.</u></a><!--url_type_2_end--><BR>同人音楽 (doujin music)<BR><!--img--><img src='http://i.imgur.com/CkHPJMM.gif' border='0' alt='Laila Hemawati'><!--img_end-->

Change 2!!, and it's sequel W Change!!

It's not strictly told through the female's point of view, but enough so that it might be something worth checking out.

Blood+ -> Watch the Anime ! It's awesome and I think it fits. (And I insist, the Anime is far far better than the manga written afterwards, imo.)
And I second Gokusen, Oresama Teacher and Tokyo Crazy Paradise.
I agree Saver fits, but I didn't like the end...

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<!--img--><img src='https://i.imgur.com/YtOi9Fg.jpg' border='0' alt='User Posted Image'><!--img_end-->

Lots of these are looking good. Thanks a bunch everyone, you've really expanded my reading list... of course, Skyrim will put a dent in my reading schedule... but I'll get around to starting them within a week enough.

That said, if you have some more, don't stop.

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Reiko The Zombie shop
A Certain Scientific Railgun
Zero in
Tsukihime
Vulgar Ghost Daydream

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Sarcasm just doesn't work over the internet.