Just got my HDMI 1.3b cables from Amazon, cheap but work perfect only 6ft long, connected 360 to TC-L32S1.
Compared to my XL2370 which has no Input Lag, and been tested by Pros as such.http://www.pureoverclock.com/review.php?id=841&page=9
Now that my 360 is connected via HDMI to my 360 I can detect no Lag and no difference between the two. I don't do fancy Photo tests, If I can land my 4 hit combo with Ken, in SSF4 HD Remix every time, thats as good as I can want.
I have tried various, other HDTV's and the L32S1 is great for a few reasons, no motion problems or blur, no input lag that bothers me or affects me, I don't think its even 1 frame behind, when connected via HDMI.
And best of all Thanks to Amazon, and Amazon Prime for a great HDMI 1.3b cable and 2 day shipping.
I think that the Panasonic TC-L32S1 also has HDMi 1.3 ports, and I can set my 360 to xvYC Deep Color when HDMI is hooked up.
I tried some DVD's and the 360 Upscaled, them to 1080p and they looked great upscaled.