Theatrely is mostly positive:
WATER FOR ELEPHANTS Flies To Broadway — Review
https://www.theatrely.com/post/water-for-elephants-flies-to-broadway-review
"Their performances, Stone’s direction, and Takeshi Kata’s ever-moving set are enough to keep the production on its track, though Rick Elice’s book often steers itself away. Each circus member has a backstory that’s hinted at during their introductions, then largely discarded. An interesting thread about animal cruelty is left undisturbed and, if I haven’t mentioned a plot yet, it’s because its wispy existence only materializes in the final moments of the first act, when the love triangle between Jacob, August, and Marlena musters up some drama. A frame story about Jacob in his senior years (Gregg Edelman), visiting a more modern circus, is tender but useless.
But PigPen’s score, period appropriate with strumming ukuleles and happy-go-lucky lyrics, creates a strong thread to tie together the production’s tendency to roam. And the ensemble — by far the best arms on Broadway — provides endless visual richness. You’re never supposed to look too closely at the circus but, here, there’s more than enough to keep you staring."