As an old geezer who rode the pre-1983 versions of Alice, Toad, Snow White, and Peter Pan a LOT, I can tell you this much...and here, I'm talking only about the original versions of these DL dark rides:
ALICE: The queue music was the title track from the film, looped over and over and over again...Poor ride operators! The rabbit hole (pitch black in that version) and upside down room had no music. The oversize room just featured the cheshire cat's laugh looped continuously. The flower garden used an edited version of the film soundtrack. Tulgey Wood featured Sterling Holloway's film rendition of "T'was Brillig," looped continuously. The Tea Party scene had the opening verse of the Unbirthday Song as heard in the film. The crash room, pointing signs and screaming doors that made up the finale featured nothing but explosions, screams, and Alice crying out, "Oh dear...how do I get out? I'VE LOST MY WAAAAYYYY!"
Man, what a wonderfully freaky ride that was in its original incarnation.
BTW, the voice of all four screaming doors (Though the last was really just the keyhole) was the Goofy yell played at different speeds, ending with the classic yell we all know and love. I was very glad when they kept that element for the final crash through the playing cards in the remodel...and even happier when Randy included it on the dark ride suite.
Peter Pan used the film version of "You can Fly" throughout the london and neverland rooms...I remember my friend and I comenting how lame it was that you could hear Nana barking in the song as you flew over Neverland.
Mr. Toad originally used no music in the ride except for the Merrily Song which played in the first couple of rooms. I believe it was the same rerecording used in the queue, but I'm not certain.
The only music I remember from the Snow White Ride was the opening instrumental portion of "Heigh Ho" which played in the diamond mine at the beginning. I'm fairly certain it was the soundtrack version.
I'll try to remember more before it fades away.