I am a huge coffee snob (hate Starbucks...if I want espresso I will buy espresso...lol...just not a fan of Dark Roast) and Disney is pretty pathetic where coffee comes in. But they have gotten better over the years after all the complaints about Nescafe by offering more specialty choices in many restaurants.
Honestly...I recommend you get a Coffee Pot in you room and bring your own beans and grinder. But if you cannot do that there are some nice choice, all of which have been mentioned so far in this thread.
Boma's Kenya AA+ French press is the best cup of coffee I have had at Disney...very well made and good beans.
I have not tried the Kona French press at Kona Cafe, but I am sure it is good. The Poly stopped serving Kona exclusively a few years ago and started serving Nescafe too (they were the last holdout) , but at least they still had Kona in Kona Cafe. But now with the Kona French press I am guessing that is the only way to get it when dining there now and the regular coffee is now Nescafe. But I don't really know.
They appear to serve Organic coffee at the Wave, so that is probably good.
Unfortunately, the last couple times we went I could not find a decent cup in any of the parks, that is why I highly recommend you brew your own in your room in the morning.