Certainly the "new" premium lounge at MIA, which hasn't really changed much from it's days as the "E" AC is great now that it has a free bar (including Johnny Black and lots if ice, ok wines and even bubbly). Some of the lounge chairs in the back are quite cool in my view. I may have a "what have you done for me lately" bias because I got awesome service there last week from the AAngel trying to rebook me on a particularily complicated itinerary that went wrong in a hurry.
I agree that travelling through MIA is always a challenge, but when you live in the Caribbean, that's pretty much the only option.
Internationally, I actually like LHR... free internet, decent food, decent bar.