My children only have experience of independent schools.
My fave school of all time is Bendarroch School about ten miles outside Exeter. My three academic yet outdoorsy spirited manky children loved every moment there. Got to go and see to get an idea. I don't many children it hasn't or wouldn't have suited. If you're on facebook, do a search on the school's name and you'll see a lot of spontaneous declarations of love for the school (ie not prompted by parents or teachers) from past pupils.
My two older children now go to Exeter School and are happy there as well. It has a huge range of extra-curricular things going on and the school gets better value as you progress through it imo. The 6th formers are truly spoiled in the things they have access to. DD2 is at the Maynard and loves it thoroughly. She is a spirited lively girl and has never found the all-girls' environment a problem. The school seems to turn out extremely confident, able young women and they also offer a lot of extra-curricular activities although not as outdoorsy or boisterous as ES.
I know of children who have gone to St Margarets, Bramdean, Magdalene Court, the Montessori (if you have littlies), St Peter's, Kings in Ottery, Clyst Vale, Colyton G S, Drake's, Woodbury School, Broadclyst PS, Blundell's, Queen's in Taunton, so feel free to ask anything about any of these too- obviously this will be 2nd hand information though!