i saw both productions last summer within a few days of each other
if youve never seen les miz, you need to see a broadway or london production, and the current lead John val jean is stunning (he leaves in august..im sure they will replce him with someone great)
This is one of the great musicals of all time, with a half dozen plus songs that are musical theatre classics...epic story, sets, etc
I liked alladin a lot, but its an entirely different league of show. "A whole new world" is the only song that is a true "classic" from this show...the book is ok, sets are great and the flying carpet is fun....