"To me, the following were not faithfully adapted on the big screen..."
To me, in general and not judging any one film/musical, the transformation from stage to screen or screen to stage does not mean to duplicate and display in a different form, it means to transform a work so that its storyline can be presented to the best magnitude in a different format. Some things work better on stage, others on screen, others on paper.
DUH!
And I must say that CHICAGO was much better as a movie than a stage musical.
"The Spectacle has, indeed, an emotional attraction of its own, but, of all the parts, it is the least artistic, and connected least with the art of poetry. For the power of Tragedy, we may be sure, is felt even apart from representation and actors. Besides, the production of spectacular effects depends more on the art of the stage machinist than on that of the poet."
--Aristotle