Ford corporate has a limited amount of cars, but they have been merciless with them. They had a black one that was outside at the now-FP office for years that I haven't seen in a while; a red one that was outside at the DDC that was also outside for years. They have a legit heritage that was used for shows (Ice 9 Customs somehow had that car for a while) and a repainted franken-heritage. Most of the cars they had left are all gone. For awhile they had a black car and a yellow car that had both been involved in more than one colorful incident that have since been sold. Couple others that were brought up to snuff and sold.
I would say the closest you could consider to "in the wrapper" would be Edsel and Henry's cars, which are both very low mile, but those are personal cars. Bill's car has a bunch of miles.