"The personal copying exception permits you to make copies of media (CDs, ebooks etc) you have bought, for private purposes such as format shifting or backup without infringing copyright. "
DVDs are not even mentioned, but they seem to be covered as "media". The same passage explicitly addresses illegally downloaded "video", so it is safe to assume that DVD is legal as well as all other media.
Ironically, England got a much cleaner and more sensible set of exceptions, because they waited longer to make the exceptions. At this point it seems absurd to make a special case for DVDs but not all other media, which is why England allows for blanket coverage of media. What is frustrating is that the U.S. has built in feedback loops where the current DVD exemption from personal copying should have been addressed by now. I normally don't go in for the conspiracy type thinking of folks like Cory Doctorow, but in this case I would have to agree that the reason the U.S. has not had this type of an update to copyright law is because of Hollywood's money. Can't expect all those campaign donations and lobbying dollars to come back empty-handed now...
Unfortunately, none of this allows libraries to do anything new or exciting, as the updates England made to its library copyright laws were very limited.