This almost meets all of your requirements:
[Link: pioneerelectronics.ca]

The Pioneer DVR-550H-K has a 160GB HDD. You can put a show on the hard drive, edit out the commercials, then record to DVD. It does 1080p, has component and an HDMI. You can also put CD's on the hard drive.
The catch is I'm not sure you can burn a CD once it is on the hard drive. Here is the same player, but in a region free version:
[Link: dvdoverseas.com]

In the description of the 550H-S it says this:
"Once you copy music files to HDD, you cannot send it anywhere. You cannot copy music files from HDD to discs. You cannot copy contents with copy protection."

You also said:
"make discs of TV shows from my non-HD DVR for later play." Technically this machine is a DVR. Just not a satellite or cable box DVR.

Regardless, it is a very interesting machine. Has discrete on off as well.