I regularly ride my cob, Heather down our local beach with friends (and when the riding school was open there were beach rides twice a week), and we regularly have dogs chasing us. Luckily our horses are generally fine with dogs (we have various dogs on the yard), but Heather did kick a dog once (luckily the dog was unharmed) after it sank it's teeth into her fetlock (ankle). It can be quite unnerving when a dog runs up to our horses, barking aggressively!
Am I bring unreasonable to ask people to pay attention to what their dog is doing, and teach their dog to come to call? I know that dogs chasing horses can cause nasty accidents, and I would also be devastated if my horse killed, or injured someone's dog through either a hard kick, or accidentally stepping on a dog.