Seed feeders being robbed by large birds

When I fill a seed feeder it is swamped within minutes by a flock (about 8) Jackdaws and a further five magpies and emptied within an hour.  The seed they drop is hoovered up at the same rate by up to 12 feral pigeons.  The tits and greenfinches the seed is intended for have no chance.  Any suggestions (apart from not using the seed feeder!)  for discouraging the big brutes?  The same, incidentally, applies to the fat blocks I put out.