Can you recommend me a good josei manga with strong main heroine?

Don't have any recommendations (sorry!) but you can go through the list of mangas with the "strong female lead" tag :
http://www.mangago.me/tag/Strong+Female+Lead/

This one is in the list and has a high rating (I haven't read it yet) :
http://www.mangago.me/tag/Strong+Female+Lead/

2nd link is :
http://www.mangago.me/read-manga/hapi_mari/