Thank you all.
I just wanted to keep things more private at first. 
We are not sure if we want her to go at sixth form or 13 plus...and due to other circumstances, we do not know if we will migrate.
However, the basic idea was boarding. I know I did name some day and non-boarding schools. That is because I am not completely firm on conditions (ie. Boarding, day school), but is just trying to get a simple idea on which schools are as decent as they seem online.
I would most appreciate a school with fun ECAs, with good wellbeing and academics. I do not wish my daughter to study day and night without any activities...that's not going to take anyone anywhere...
I just hope she could study in a high-quality university, recieve good education, and be outgoing and all-rounded. I also hope there are students coming from different countries, with diverse cultures and nationalities.
Also, I would emphasize that I would love new ideas as @foxesandsquirrels said that I was googling on the best schools. Some advice would come in handy! Finally, I say SCHOOLS, with an “s”, as I know there is no best SCHOOL.
Thank you all for your help!