Your list will look weird to anyone with actual kids in school.
You need to be looking at what ticks the boxes for YOUR child when the time comes.
DH and I expected to have a highly academic bookworm of a child who hated sport, played chess, bit quirky and friends don't come easily, and would be aiming for A levels and a top university.
We come from families where university and high results are just the norm. Friends and family would have all bet large sums on us producing a child like the one above.
Instead we ended up with a clever child who has zero interest in anything academic, enjoys sport, loads of friends, severely dyslexic (didn't learn to read till she was 7), ADHD, only really interested in music since she was old enough to tell us this and definitely not planning on doing A levels or university.
We've picked a school that is brilliant for her, but possibly wouldn't have suited the child we expected.
Your best bet is to buy a house somewhere with options - a range of good primary and secondaries both state and private, and with good transport links and access to extra-curricular.
There is ZERO point looking at schools with your list - what happens if the head changes and it's a whole different ethos? What happens if school fees go up so much that the only people still able to afford to go are the uber-wealthy and international students?