Hi Sounds Good,
It's all about experimenting, just pick the one that sounds best to you.
For movies recorded in Doby Digital -> Try Dolby Digital + Pro Logic IIx Movie mode.
Also check THX Ultra2 Cinema with Surround EX Cinema mode (of course if you have two rear surrounds).
For movies recorded in DTS -> Try DTS + NEO6 Movie mode, or DTS + Dolby Pro Logic IIx Movie mode.
For Music recorded in 2-channel Stereo -> Try Dolby Pro Logic IIx Music mode.
Or DTS EX (matrix) + NEO6 Music mode. (You might like 5 or 7-channel Stereo mode, but personally I don't.)
For movies already recorded with DD EX, just leave it there.
For movies already recorded with DTS ES, also just leave it there.
For Multichannel Music, like SACD and DVD-Audio, just leave it there.
THX Movie mode is good for older movies recorded only in Dolby Surround, or soundtracks having a DD encoded audio, but that sound too bright.
* {For movies using THX Cinema mode with Audyssey, Audyssey "Flat Curve" is automatically applied.}*
*** Oh, also, always use Audyssey superimposed on any audio mode.***
(When you do the automatic room EQ calibration using Audyssey mic, use the full available 8 microphone positions for best averaging results.)
And for Pure Audio 2-channel stereo listening -> Just use exactly the [Pure Audio] mode, or try Stereo mode with the subwoofer engaged and Audyssey.
There are a few more of course, so just try them, but these ones mentioned here are the most valuable. And also in your manual from your 876, there are some tables "Using the Listening Modes" that indicated all the movie and music audio modes with their various audio derivatives. And right after that, "Adjusting the Listening Modes". Make sure to have a look in that section.
Hope that helps,
Bob