I have been to all Moderate resorts, and stayed at 3 of them. I haven't stayed at Port Orleans French Quarter, but I visited the rooms when part of my family was staying there.
My ranking of the resorts:
#4. Caribbean Beach Resort - My room was right next to the bus stop, so it was NOISY all the time, and the resort was just kind of blah to me. Pirate Room was okay, but the carpet in my room was wet. It was probably just a bad experience for us, however we won't be staying there again.
#3. Port Orleans Riverside - Don't get me wrong, it's a beautiful resort. It's just huge. I did a lot of walking to and from the bus stop. I liked the double sinks in the room though. Really saved time in the morning! Oh and the boat ride to Disney Springs was really serene. Overall, not a bad resort!
#2. Port Orleans French Quarter - Really beautiful place, with excellent theming! Food Court was amazing. Rooms were really nice from what I saw. I would totally stay there.
#1. Coronado Springs - My "home" resort. When I walk into CS I immediately know I'm at Disney World. Pool is one of the best at any WDW resort. The rooms are so much better than the other Moderate resorts, in my opinion. For one, they have an actual door dividing the bathroom and bedroom. They also have a nice desk, and chair, and instead of the pull down bed like at POR and CBR, there's a dresser (which is nice if you like to unpack). I guess I'm kind of biased, but CS is still a personal favorite of mine.