I guess we're still kind of Old School.
We gave most of DVD's away to DD and only kept our favorites. Then we would rent new Releases from BlockBuster. When they began closing that led us to buying Blu-ray DVD player and BR DVD's because the quality is so much better. They all go into a multi-case alphabetized to save space. But then we upgraded the 40" LCD to a 46" 3D LED TV and now we have to buy 3D Blu-rays if available. DD gets the DVD, DS gets the PC version and we keep the BR and 3D-BR in original cases.
Most of the better movies are on AMC, Encore or Movie Channels, so we hardly ever rent an HD movie from DirecTV. Our Internet is so slow, doubt we could download anything from Netflix like our DS does. I know the Data download would go over the limit which means big $'s.