The schools are the part of Eastchurch nobody needs to apologise for. Nine in ten graded schools across the county are good or better. The village has its own primary. The secondary is a drive, not a stroll. The problem around here is the school run, not the school.
Ofsted has graded 245 schools and other settings across Kent, and 221 of them are good or outstanding, which is about nine in every ten. Of those, 38 are outstanding. Another 21 require improvement and 3 are inadequate. These counts cover the whole of Kent, not just Eastchurch, Warden and Leysdown-on-Sea, so they describe the system your child enters rather than the building at the end of your road. Another 255 settings have no published grade yet. That means not inspected or not graded, and nothing more.
Closest to home is Eastchurch Church of England Primary School, in the village itself. Further west, primaries such as Minster in Sheppey Primary School and Thistle Hill Academy widen the choice for families willing to drive. For secondary, the options on the island include Leigh Academy Minster and EKC Sheppey Secondary. The Department for Transport's 2019 modelling puts the nearest primary about 12 minutes away by car, 19 by public transport or 46 on foot. The nearest secondary is about 19 minutes by car and 33 by public transport, and walking takes around an hour and a half. Nobody walks it. The bus timetable decides a lot of family mornings here, and parents who assumed otherwise tend to find out in the first week of September.
None of these names comes with a place attached. Kent allocates school places by its own admissions criteria, and living near a school, or in the village it's named after, does not guarantee a place there. Check each school's admissions policy and its most recent inspection report before you let a school's name decide which house you offer on. Estate agents are fond of the phrase "close to schools". Close is a distance, and it doesn't come with a place.
The schools are one of the area's real strengths: the county's standard is high, and a good primary sits in the village. The weak spot is the drive to secondary, not the quality of what's at the other end.