Yes I've enjoyed the first poem and the thoughts on it very much; a very delicate little piece I think. I love the impression of the girl's wandering eye, the Doctor bending down lost in his collections and the frantic waving of the puppets! As Virgil hints, in his way, it is something of a sketch of a sketch, but for me no less enjoyable for the fleeting image it brings (and certainly agree with the point made about Wilde's aesthetics of course).
I certainly go along with the interesting points already made and don't really have anything to add other than it got me thinking of the absence in the poem, the things left unsaid - the people who are obviously present at the puppet show but are not there. The children perhaps for one (I'm not sure of the nature of this particular puppet show). One wonders if there is any significance at all about this? Maybe not. Perhaps Verlaine is just very succinct in the minute detail he pulls out - which certainly gives its own impression of a story regardless - but I always find it interesting to think about what is not said sometimes as well as what is. There's certainly more people present than three!
I've not properly read the other poem yet, I'll make it my bedtime piece if I've time...