Ironically enough, in my one trip to Ireland, I played Mulranny Links. We had stopped at a gas station high above the course on the way from Connemara to Westport, and we saw the livestock-covered course down by the bay.
My brother and I played, paying by honor box and signing the guest book in the deserted trailer/clubhouse. After several pints before, and a long nap in the car, I shot a 2-under 33, even with a bogey at #8. The greens are surrounded by barbed wire (with a latched gate for entry) to keep the cows and sheep off. They create some interesting short-game strategies: Do I chip under or pitch over, or try to go in between?
As for great holes, there aren't really any that specifically stand out. The ground is gently rolling with a few dunesy landforms. A very nice Irish local golf experience in a beautiful spot. I have heard there used to be 18 holes on this common land at one point, but much of that land seems to have been consumed by marsh and animals.
I actually bought a nice old postcard on ebay of the Mulranny Links!