We live in Bournemouth where there is a huge shortage of primary school places. I think DS is in the last year group (currently in Y4) where there are just about enough places in the borough for each child to have a school place - albeit not necessarily in their catchment school.
DD, now in Y1, is in a year group where there was a shortfall of 300-400 Year R places; this was situation was predicted in the newspapers at least 2 years before we had to apply for her school place, and the LEA acknowledges that it is drastically short of school places, which of course will only get worse as they approach secondary school. It is a terrible situation to be in.
Given that we live in a town where there is a lot of immigration, both from elsewhere in the UK (articularly from London) and from abroad, the waiting lists for primary schools are getting longer and longer during each academic year. Many schools had to put on a bulge class last year, or are doing so this coming year, and there is talk of this becoming permanent and/or new primary schools being built; no idea when or where. This is all straight from the horse's mouth (i.e. the Head of Admissions at Bmouth Council). Anybody moving into the area with a child who needs an in-year transfer to a primary school in YR, Y1 or Y2 will not have a chance of getting allocated a school that scores higher than level 3 on Ofsted (I know that not everyone sets great store by Ofsted reports, but many do) and they are highly unlikely to be offered a school place close to their home. Like someone upthread, our DD is currently sitting on the waiting lists for a state school place whilst being educated at a private school; this is not a situation that is sustainable for us in the long-term and in fact we may well have to give notice next term, in the hope that a place comes up for her before September (shes no.2 on the waiting list for our catchment school, and no.14 (!) on the waiting list at DS' school as, although she has a sibling there, we are out of catchment although only 0.8 miles away from the school). May have to home-school her for a term or two until a place becomes available as we have pretty much run out of money.
DS' junior school, by the way, has 4-form entry as standard, and currently has a fifth Y3 bulge class and the linked infant school will have a fifth YR bulge class in September. The infrastructure simply cannot cope with this; there is nowhere to hold whole-school assemblies, computers are now on trollies rather than being stationed permanently in classrooms, the kids eat packed lunches in their classrooms, the surrounding streets are bloody lethal at school-run time, the gates are jammed with kids and parents, the infant school's outside space is tiny ..... and there are now additional numbers of children who need SEN support etc (including my DS!) so resources are really, really stretched.
As others have said - these problems have been building for years and years. It's wicked that nothing has been done about it before now.
I will happily sign any petition etc going that might get the powers-that-be to sit up and take notice ...