In England and Wales are councils which have responsibility for the education system within their jurisdiction.
LEAs generally have responsibilities for the funding and distribution of the funding for schools in their areas, they are responsible for admissions and the number of places at each school, they employ the staff that work in voluntary controlled schools and generally are responsible for the children in their care.
In England there are 152 LEAs and in Wales the councils of the counties Act as the LEA for the schools in their jurisdictions (although, in Wales the term LEA is no longer used).
Thanks is given to Alex Ward for helping to compile this list.