Crow, Jackdaw,maggies, Jay. If possible every single one of them however Jays are a beautiful bird.
Good, but don't forget to blast the other vermin, Grey Squirrels. On one of my old shoots in Oxfordshire, part of our agreement with the landowner was to control the squirrel population, so the first Saturday after the end of the season, when all the leaves had gone, there was a day where every gun & most of the beaters would turn up where the keeper had several extendable light metal poles & we would seek out all of the dreys, get a ring of guns around, poke/destroy the drey & kill all of the squirrels fleeing. We used to get a reasonable number, very few escaped and the corpses were shown to the landowner to prove we had kept to our agreement.
Sadly by the time the next season started, squirrels would have encroached from other woodland areas where there were no controls!