The wifey and I have seen about 6 in the last few years. Our hands-down favorite musical over that time has been "Gentleman's Guide to Love and Murder." I believe it was in London last time I looked a few months ago, but don't know about now. Of course, Hamilton has high rave reviews, but we haven't seen it yet. There's no accounting for taste, but GGtLaM is in a class by itself. If you are up for very clever but very raunchy humor, then Book of Mormon is unbeatable. Don't know if it's till in London either.
What you ask is often very hard to figure out. Good luck.