Yup, my Sony Bravia is great for movies except some quirks:
takes over 10 seconds to sync to HDMI
panel is 1366×768 but only 1360×768 is accessible over HDMI (it can be shifted up to 3 pixels left/right though)
its LUT for color brightness is all messed up with RGB HDMI signals, the lowest 30 or so brightness steps map to full black and then the brightness takes off steeply. A YCbCr-capable GPU is needed to correct this (an inverse LUT is techniclly possible but will not compensate for the awfully giant steps in dark areas unless the GPU also adds dithering.
Yup, my Sony Bravia is great for movies except some quirks:
And it accepts 1080p, but downsamples it to the resolution you mentioned.