We did have a corkscrew in our room - but not a good one.
We didn't have a cork for the wine bottle - I now own one from the Screen Door with a Mickey head.
We brought good ground coffee, filters, half and half, sugar, salt and pepper, eggs, cheese, bottled water, milk, cereal, laundry detergent. That is pretty much what we used. We brought a lot of other stuff, but didn't use it. We didn't bring dryer sheets, they went on the list for next time. You will need enough shampoo and conditioner as well - T&T day is too far to get you through on one of those little hotel bottles.
Provided was dish soap (liquid and powder for the dishwasher). A number of sugar packets, as well as sugar substitute (the blue stuff and the pink stuff) (but not enough for us). No creamer (but we don't do powdered creamer anyway). One pack of laundry detergent (if you are like me you can get two loads from it - I never use as much as the package says).
You may want to check out the grocery lists at
DVC Member.com. Had I realized how "reasonable" the prices were and how few groceries I was going to use, I would have packed the few we needed in a suitcase, ordered some bottled water from netgrocer, and skipped the grocery stop.