Digital Video Recorder...
Many options: I have one (Sadly lost remote) that records to DVD
I have two (With Remotes) that record to hard disk
Some do both
TiVo is one popular brand but there are many others.
Just in at a Thrift Shop I spend time at (Work/Voulenteer) is a box that turns a Windows Media Edition computer into a DVR..
Hauppauge makes the Win-TV Replay Edition (My first choice in USB devices) couple that with a 500 Gig or multi-Terrabyte hard drive compuer (As little as 250 dollars,,,,possibly less) and you have one.. "Heck" of a DVR.
Most modern laptops have HDMI out as well.