Unless there is something super rare on your dvr,nothing on it is worth the trouble of trying to rerecord or copy.
Almost all television shows can be downloaded in full HD quality from either the broadcasters website or from the studios website. Same goes for many sports and movies. Services such as blockbuster on demand , tversity, hulu and netflix have tons of stuff also.
Plus if you look, you can find some of the DVD sharing sites. This is where people with DVD collections are constantly trading and sharing their DVD collections thru the mail. I haven't done it in a while because DVD's are not HD. But I am sure some people still watch DVD's