I was searching for flights from Miami to Punta Cana in the Dominican Republic on the BA.com website. I actually meant to search for award space using Avios and my subsequent search did find what I was looking for: American Airlines (part of One World) direct flights taking just over 2 hours. The search for paid flights resulted in the following bizarre itinerary via London Heathrow and London Gatwick (which also requires the rip off National Express coach):

Miami - Punta Cana on BA

But $1050 for two trans-Atlantic flights seems prettry reasonable if you were in the mood for collecting Avios and tier points with a quick visit to London!