If you had a free hand? I would get rid of all state selective and faith schools and introduce a new admissions system based on ballots and fair banding. And I would introduce an extensive school transport network. That would be my starting point. I haven't yet worked out the details for children who genuinely can't access mainstream education, but I do think that most can with proper support. Which will, of course, be in place. This needs more thought and input from experts once My Glorious Reign comes into effect.
I would also have rigorous and regular inspections. Free school meals for all. BTecs or some similar system will be given the same weight and value as GCSEs and A Levels.