Thought this might a useful guide for editing/preservation:

Atragon (1963) - Drama LP. Contains all sound effects and dialog in the right channel.
Monster Zero (1965) - Drama LP. Same as above.
Alien (1979) - 1999 DVD has an alternate track with (incomplete) production audio.
Mortal Kombat (1995) - '90s DVD. Center channel on the 5.1 track is devoid of the rock and pop songs. The percussive elements of George S. Clinton’s score are still audible, though. Not sure if the Blu-Ray is any different.
Toy Story (1995) - Ultimate Toy Box DVD, contains SE tracks for the first two films.
GMK: Giant Monsters All-Out Attack! (2001) - Sony DVD and BD. Center channel on the 5.1 has the dialog and sfx almost fully separated from the music. This applies to both the Japanese and English audio.
The Room (2003) - Center channel on the 5.1 only has dialog.

If you know of any other film/release like this, let me know, I shall add them to the list.