I've seen One Man, Two Guvnors which is silly, but when we saw it at the theatre it was hilarious. It's quite a physical piece, and you lose some of that watching it on screen.

Your description of Jane Eyre sounds very plausible. (I've not seen it.) Again, what works well on stage (where the audience is conscious of the limitations) doesn't always come over as well on screen.

As you know, I love live theatre, but don't generally watch the streamed version.