Coffee at Disney is brewed using the greenest water from the 7 Seas Lagoon.
OK, it's not, but it tastes like it.
There are two know "Coffee Sanctuaries" outside of Deluxe Resort Concierge Lounges.
One is at the Polynesian at the Kona Coffee Bar. The other is the pastry shop on the boardwalk. They serve good espresso and cappuccino along with pastries.
Otherwise, AKCL has the very best espresso/cappuccino machine. The others have those machines that make it from a mix. Doesn't really cut it, IMHO.
I usually bring my own roast, a french press and get hot water from the lounge if they're open as early as I wake up. Much easier at the Polynesian as they are open pretty much 24/7. Yacht/Beach Club and Boardwalk have restricted hours for their lounge so you'd be out of luck.
I roast my own beans when I have time. I prefer Colombian Huila and a few Brasilian beans. Thrilled with a good dark roast but the Colombian Huila as a medium roast has an incredible woody flavor that I've not been able to find with other beans.
Anyways, yeah. Disney coffee makes me want to cry. So I bring my own "fix".
Here's a good source on coffee roasting and supplies for those interested:
www.sweetmarias.com