I've seen her frustration as series come and go from the catalogs, and the lack of things that we can watch together. So recently I've gone back to DVDs.
Many local shops sell used DVDs for €1 each, and I recently discovered a store in Helsinki which is lined with DVDs basically from floor to ceiling - a little more expensive, but not much. It was fun spending an hour browsing around looking for things I remembered or wanted to see for the first time.
Sure DVDs won't last forever, but I think having TV shows, and films, on disk is going to keep me going for the next 10+ years quite happily. Maybe after that I'll switch to something else, but I struggle to imagine it.