The schools picture in Shoreham is ten primaries, two secondaries, an independent boarding school with a listed chapel, and no live inspection grades in this dataset to pick between them. That is the honest one-line answer. There is choice on the ground. The ranking to sort that choice is not in this snapshot. Anyone buying near a specific school should read the current inspection page before signing anything.
Naming a school on a page like this is not the same as saying you will get a place at it. Admissions are decided by the local council on distance measured from the school gates, oversubscription tie-breakers, and the sibling rule, all of which shift year to year as the applicant pool shifts. A house within a school's usual catchment last year is not guaranteed to be within it next year. Parents who bought a Shoreham house on the assumption that the nearest primary would take the child have been surprised often enough that the story is now familiar. The distance algorithm is honest, but only after the fact. Anyone buying because of a specific school needs to talk to the school's admissions office and the local authority's admissions team, not read a summary sentence and hope.
On the primary side, the district takes in Buckingham Park Primary, Holmbush Primary Academy, North Lancing Primary, Seaside Primary, Shoreham Beach Primary, Sompting Village Primary, St Nicolas and St Mary Church of England Primary, St Peter's Catholic Primary, Swiss Gardens Primary, and The Globe Primary Academy. That is ten schools inside the immediate catchment ring, which is more choice than the average post-war coastal town has managed to hang on to, and more than most parents will seriously consider before defaulting to the one at the end of their road. The North Lancing and Sompting Village primaries sit in the neighbouring settlements west of the town, and their catchment maps are the ones to check first if the address is anywhere near the western edge.
On the secondary side, the two state options are Shoreham Academy and The Sir Robert Woodard Academy, which sits west in Lancing. Beyond the state route, Lancing College is the boarding school on the hill whose chapel is separately listed. Its fees do not appear in this dataset, because Lancing College knows exactly who it is talking to, and it is not the people who need help finding its website. Shoreham College is the local independent day school and is the one most Shoreham parents consider when the state route does not fit. Sompting Abbotts School and Springboard Education fill out the private and specialist end. Herons Dale School is the town's specialist provision for children with additional needs, and its presence on the list is worth flagging on its own.
Middle of the road on the schools, which is the honest verdict on the current picture. Enough of them for a real choice, without a ranking in this dataset to pick the winner. That answer sits on the current inspection page, not on this one.