I/m playing my XBox360 on a LG 32LF11. As far as I can see, the only audio out it has is an optical output. I need to be able to plug in my headphones so that my gaming doesn't wake up mu ...

You could be running into an HDMI handshake problem or the DVD player won't let you output raw digital audio through optical if you are using the HDMI output. Try connecting the DVD player to the TV ...