Yes AGP DVI works fine. I switch the monitor to HDMI and boot and monitor says "HDMI No Signal". When I plug in the cable the driver doesn't load. The P8Z68 HDMI port acts dead. I thought there might be a BIOS setting but I don't see any HDMI options to enable.
i believe the IGPU, the intel graphics on the CPU, is enabled in the BIOS for all three of the outputs. i haven't used mine though most folks who use their TV just plug it in an boom its there.