You have my sympathy too. I remember one year when the blighters were eating absolutely everything in my garden - flowers, herbs, vegetables. They even ate the onions and chives, so i bet they would have been ready-seasoned if we could have caught and eaten them.
We are only separated by chain link fence from the fields and the adjoining gardens, so i attached chickenwire to that to prevent them just hopping through. Young ones still found their way in sometimes, but only until they grew too fat on my veg!
Occasionally, a burrow has appeared, but if I persistently block/collapse it, they seem to stop using it.
Currently there isn't a problem - over the last five years, the previously huge local rabbit population has been declining and now seems to have almost totally gone - to begin with, I thought that a neighbour's cat, a very prolific hunter, had something to do with their decline, but realistically I think it must have something to do with disease. It's sad not to see them all playing or relaxing in the fields, but my garden is certainly a lot better now!