You can convert HDMI to component video using
HDFury2 and then record component video using
Blackmagic Intensity Pro,
Hauppage HD PVR. Both allow you to record 1080i or 720p videos, both don't support 1080p videos.
Unlike HDMI with HDCP, the video from component output is not encrypted.
As for record from HDMI with HDCP without using the "Analog hole", I don't think this is possible.