I believe that the 1040 uses an IC amp where as the 810 & 1000 use discreet output components. the X40 series is where the quality of the components shifted, not that it's bad stuff, just not the same. The dynamics, the impact, seem to suffer because the ability to pass current is limited by the IC amp.
The HK gear is another story. I have no experience with the 665, but will never part with my 630 or 730. I have heard the 930 is just a 730 with more output, someday I will bag one of those too. The 730 is possibly one of the better sounding receivers of all time, I would imagine the 930 wouldn't be far off.
If it's got to be a shootout, grab the HK 930 and the CA 1000, I doubt either will make it back out the door.
Unfortunately all the responses you will get here really don't mean squat. You have some nice gear to cycle through, spend some time and listen to them, only you can decide which one is truly best for you.
If you grab the 930 and decide you don't like it I would like first dibs if that is possible.
Good luck & have fun