At the risk of being very repetitive, we are genuinely spoilt for choice in this area. I know children who are / are at all of the following and this is my take on them:
St Ives -very small, gentle school. Nurturing and perhaps best for non sporty girls. I'd worry about numbers and financial viability. Sweet Hogwarts-esque uniform.
St Ed's - was a traditional prep until about 10? years ago. Now through to 16, so good if you are certain you want to have a change pre A level. Lots go to Godalming. Still the same site, so quite a lot of children on a site that was intended for prep school numbers. Low pressure academically. I don't know any who have left at 13+, so not sure whether or not they'd prepare for that, or if all are encouraged to stay. Lots of buses.
Aldro - quite boy-heavy, traditional prep. Did lots of discounts for girls a few years ego, which enraged the parents of boys. Don't really hear much else as the boys I knew there left a couple of years ago.
Edgeborough - more Farnham-centric, all-round. Newish partnership with Charterhouse, but by no means all go there. Happy children. Again, quite a few buses. Young popular Head.
Amesbury - similar, all-round, sends to the widest variety of senior schools, I'd say looking at the children I know. Parents rave about the pastoral care and getting the best out of each child. Lots to Charterhouse, Seaford, some to further boarding but also have a friend whose child went to Bohunt from there. Again a popular Head.
Highfield - acres of beautiful grounds, traditional prep to 13+, most recently have heard of extensive learning support provision, so worth looking into if you think your children may need that. Privately owned, so a different set up to most. Good match teas!
Barrow Hills - another all round, possibly less academic than Amesbury and Edgeborough. Now part of the Bridewell Foundation and I don't know how that has / will impact them.
Churchers - different from the others, more of a half way house between state and private. Large classes. Good if you want an all through school, less so if you want your child to change at 11+ or 13+ as they won't prepare for it. Mainly seems popular amongst those who want certainty earlier for senior places. Don't hear much from the junior school parents, but some moaning about lack of value-add at senior, BUT it is much cheaper than other all bells and whistles seniors so perhaps unfair to compare. More of an ex-grammar feel a bit like RGS, but less academic. Petersfield is a nice town and on the trainline. Although junior on a different campus in Liphook. Buses between the two.
There's also Lanesborough, which I know less about, Frensham, Bedales. The latter two both being quite arty and alternative. Wouldn't choose Bedales for an academic child, would for one into dance / music etc. Frensham feels a bit like Bedales-lite to me.
As I said, we are very lucky!