so many great places posted here, and of the ones I have seen, an argument could be made for any of them,
But I could care less what people say, the view from the #12 tee box "Courcean Stage" at Old Head is the most awesome view anywhere. I won't/can't (today) post a picture, it wouldn't do it justice. Hit one from the back tees, I promise you will never ever forget it. I'm not sure how something could be more awesome.
Now favorites -
top 5 that come to mind:
1. #4 RCD
2. 17/18 St. Andrew's
3. leaving town overlooking Royal Portrush
4. #12 Augusta
5. walking to #3 tee box Royal Dornoch