There are many manga/novels where the MC starts off as weak and meets strong female lead. Then MC gets stronger than her and the female lead becomes useless.

I am looking for
1. Female lead also continues to get stronger and stays stronger than MC
2. Female MC that gets stronger than male lead

Yandere Kanojo is pretty good in that respect. Also, it's questionable if she's the female lead or if she's stronger than the main character, but Ryoko from Angel Densetsu is really strong throughout the series.

I can't second Angel Densetsu enough! It's hilarious and touching and all around perfect.

As for my recommendations, here are some of my absolute favourites~

Chang Ge Xing
The Legend of Maian
1/2 Prince
Ran to Haiiro no Sekai
Risou no Himo Seikatsu (Novel)
Superior
Beniiro Hero

________________
Hobbies include impersonating fictional characters and sucking on ketchup packets.

Angel Densetsu is one of my favorites! Another good one would be Witchcraft Works. I would love to see more recommendations like it.

Oh, you cannot imagine how long I am searching for such stuff. But my case is worse, because I am looking for female lead, who is physically stronger than male lead

But I have few recommendations for you:

1. Shield Hero - theoretically it should fit the bill, but practically he is real cheat. It's for you to decide, but this thing (LN and manga, avoid web-novel) is good in any case.

2. Rakudai Kishi no Eiyuutan: female lead and MC were kinda even but after vol. 8 it shoulf fit the bill. Have not red it yet until this volume myself.

3. Is It Wrong to Try to Pick Up Girls in a Dungeon? - whole plot is set up the way, that MC should surpass his overpowered love interest, but still he is too far from her.

4. Altina The Sword Princess (novel)- this novel should be ok.

5. Boku wa Isekai de Fuyo Mahou to Shoukan Mahou wo Tenbin ni Kakeru (novel) - this novel is pretty good. Male MC is support mage, while female leads are fighters.

6. Master of Monsters (novel) - only if the fact that feme are monsters does not bother you

7. Yuusha-sama no Oshishou-sama (novel) - surely fits.

8. Risou no Himo Seikatsu - interesting and funny thing

9. Release that Witch (novel) - male MC has no powers at all.

10. Stunning Edge (novel) - should be fine.

P.S.: could you please share what you have found before?

Ga-rei
Kurohime
Ichi

________________
"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-->

I have a few lists but they are not specific to your requirements. That being the case, it still might help you find some new stuff.
Novels
https://www.mangaupdates.com/mylist.html?id=444158&list= user3

Manga
https://www.mangaupdates.com/mylist.html?id=444158&list= user1

I also love manga with strong female characters, so here are some of my suggestions:

- Skip Beat!
- Joou no Hana
- Akatsuki no Yona
- Maeuigeom
- Pharaoh's Concubine
- Soredemo Sekai wa Utsukushii
- Chang Ge Xing
- Koushaku Reijou no Tashinami
- E? Heibon Desu yo??
- Jigoku no Enra
- Kamisama Hajimemashita
- Tianmei de Yaohen
- Cheonsaeng Yeonbun
- My Dear Cold-Blooded King
- Isanghago Aleumdaun
- Prince, Don't Do This!
- Hadashi de Bara wo Fume
- Kaichou wa Maid-sama!
- Miunohri to Swan
- Love in the Mask
- Crash!
- Queen Regnant of Heaven
- School at Imperial Court
- Aoi Horus no Hitomi (Dansou no Joou no Monogatari)
- Ao Haru Ride
- Mairunovich