As other posters have said, most of the first choice restaurants are probably already fully booked. But that doesn't mean that people won't change their plans and cancel as we get closer to Thanksgiving. Your best bet is to call today and book whatever is available at an acceptable time to you.
Since it is a holiday and you will need to give a credit card, this will actually work to your ADVANTAGE. Look around and find three or four restaurants you'd really like to dine at. Then call everyday to see if there's a cancellation. Since everyone that booked a reservation for Thanksgiving day had to give a credit card number, they are more likely to call immediately to cancel if they have a change of plans. On a normal day, people are less likely since there's no financial incentive to make someone notify Disney that they are not planning to make their reservation. It might take plenty of phone calls, but something might pop up. Good Luck!
! So keep trying.
