Betrayal at Krondor (already mentioned it)
King's Quest VI
Legend of Kyrandia
In the matter of music in games. It always seems a bit retarded for the music not to follow the actions of the hero. Only very lately there've been moves towards more interactive elements in music. Monkey Island had some examples of that, but in midi.
Finally, since the thread is about games
and not adventure games
I do feel inclined to propose Morrowind (Elder Scrolls III). The main theme is offered by the composer (Jeremy Soule) and also in the game's website. So there is no issue I think. http://www.ubi.com/DE/Downloads/Info.aspx?dlId=308
It is an rpg, but anyhow...