I highly recommend GardenGrocer.com for those staying in Disney. The website was easy to navigate, the prices reasonable and the service was outstanding. The produce was high quality and there was a reasonably wide selection of food. The food was delivered directly to my room and the order was perfect.
We were very happy with our Garden Grocer order and delivery. Everything actually arrived even before the estimated time, and the order was correct. Furthermore, we ordered produce, and it was fresh. We were very happy and would use Garden Grocer again.
Being from the UK we didn't know any grocery delivery services in the USA so took advice from people on TripAdvisor who recommended Garden Grocer now I'm recommending them to you.