On a more serious note on addressing the issue, you can use a dedicated Media Centre PC coupled to a Server to allow you to preserve, in digital format, old analogue videos that cannot be found on any newer format. The Server can also feed the rest of your house PCs.
A few years ago I used a video capture card on a PC to assemble old VHS tapes that would never officially appear in a digital format. It was basically a matter of hooking up the VHS machine directly to the PC's capture card. Obviously use the best output sources on the VHS (likely S-Video and a Stereo audio source). Other old analogue sources are identical in the procedure.
DVDs and Blu-rays are super-easy to back up. Google is your friend.
Depending on the amount of data you want to back up, you can get away without a Server and just use internal storage on a PC. Hard drives are currently available in up to 2Tb sizes. If you use a RAID-5 array using three 2Tb drives, you can have 4Tb of storage, and redundancy in case of drive failure. Most consumer "enthusiast" motherboards have RAID-5 with up to four drives, therefore you can build a PC with 6Tb redundant storage.
Also FYI, a DVD's typical size is 6 to 7 Gb (Max 8.54 Gb). Blu-rays are much bigger, usually about 40 Gb (Max ~50 Gb). My analog-to-digital conversions didn't take a whole lot of space (they were less than 4 Gb).
