Companies like Blackmagic Design make some pro capture devices with HDMI, but they won't do what you want them to, and that is recording encrypted (HDCP) material over HDMI. Their HDMI feature is more for connecting connecting cameras than anything else.
Here's the problem:
HDMI was primarily shoved down everyone's throats because media distributors wanted a way to digitally copy protect their content. It actually had NOTHING to do with better quality, initially. In fact, analog component video has more than enough bandwidth to support a 1080p/24 signal. In general, I think HDMI is very annoying to deal with. The connectors are too small relative to the bulk of the actual cabling and therefore the cables fall out of their ports too easily. Not to mention, early HDMI devices were plagued with compatibility issues (although these problems rarely exist on newer devices). The industry standard HDMI "A" connector is easily one of the most poorly thought out standards in the history of consumer video... all in the name of keeping Hollywood happy.
Also, given the relatively sensitive nature of TDMS signaling (which requires very well constructed cables for longer lengths), HDMI has bred yet another snake oil industry for the exotic cable peddlers like Monster, who want to sell you a $100 HDMI cable to connect your $200 Blu-ray player to your $1000 TV.
Anyway...
Devices like cable/sat set top boxes and Blu-ray players won't output a signal over HDMI unless an HDCP handshake takes place, which requires both devices to support HDCP. It is illegal for a manufacturer to produce a recording device with HDCP for obvious reasons. It would defeat the purpose of HDCP.