When I hook the 32lz800 to a hdmi source, like my PS3 or PC, in darker scenes a lot of the details look like they were crushed and turn solid black. Red or blue text on a black background is also hard to read. I remember having similar black crush issues when I had hooked up an older LCD-TV to my PS3 via HDMI, and after fiddling with the picture options and the PS3 options, I finally just switched over to component because I could not fix the HDMI issue.
I had also tried installing windows 7 on my PC and with either the default windows drivers or the latest nvidia drivers, black backgrounds and black colors turned very milky. I eventually gave up and switched back to winXP, which had nice dark blacks but everything semi-black or grey was crushed like what is mentioned above.
I am under the impression that there is something about HDMI that crushes or screws up everything it touches or I happen to be unlucky with my hardware to have these issues.
Edit: I've played around with some more settings and it seems that in order to not get my blacks crushed, I have to up the brightness to 100, which makes plain black turn into milky black. It seems my windows 7 install had the right idea when it upped the brightness on its own. I'll have to see which one I prefer more, bright milky blacks with no crushed greys, or dark dark blacks with crushed greys. Crushed greys sounds terrible for detail but the milky black can drive me nuts.