Years ago when we started using DirectTV, we purchased the DVR rather than rent it. Now we want to turn off the service. Since we own the DVR, is there any way we can use it to record content we stream from the internet? I've tried searching the internet for answers but so far have not found any information on this.
You can continue to watch the programs already recorded on your DirecTV DVR if you disconnect it from the dish before you cancel the service. When you cancel, they will try to deactivate the DVR completely by sending it a message from the satellite.
As for recording streamed content - Your best option is probably the Hauppauge 1212 HD-PVR which someone else mentioned. I have one of these and it works pretty well. (A little finicky to set up at times.) It will need analog inputs (component for HD/SD or composite for SD). You might be able to get a video adapter card for your computer with these outputs, or you could buy a streaming appliance such as a Roku box or a WDTV Live Plus. These are only about $100, so not a big investment.