They're all great picks (although I don't see OTTC for another week) but I recommend Gentleman's Guide and Something Rotten. Two of my favorite shows currently running.
A little swash, a bit of buckle - you'll love it more than bread.
I would love to help a fellow Michigander, although I no longer live in the beautiful state .
Gentleman's Guide is very funny, entertaining and cheeky. You will leave with a smile on your face. It is not to be missed, especially if you like British comedy.
The same pretty much can be said of Something Rotten. It is also not to be missed, in my opinion.
Hand To God is very funny, and much different than anything else on your list, or on Broadway for that matter. I would try really hard to fit in all three of these.
One step below these would be On The 20th Century and Finding Neverland.
Here is how I would rank the shows you are seeing, and those you have mentioned as possibilities (with Finding Neverland thrown in). Even the ones toward the bottom of the list are very good, with the exception of On The Town, which I did not care for .... just my personal taste.
I'm completely oblivious to what you mean by "dance card", but if it's dancing you're looking for, I would choose On the Twentieth Century. There is nothing more thrilling than watching those tap dancing porters do their thing the entire show.
Nothing wrong with anything on your list but I would strongly consider Matilda and Finding Neverland especially if you have a difficult time getting tickets for some of your others... On the 20th Century would be something I might drop but that's me..
Wow! You're seeing some great shows. Of the 4 possibilities you listed, they are all worthwhile. You can't go wrong with any of them. If I had to rank them, I would probably go: